We solved the question! The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x: y = a + bx. We're asked to convert these linear equations into slope-intercept form and then graph them on a single coordinate plane. So let's divide both sides by 2. That's why it's called slope-intercept form. Write the following inequality in slope-intercept form 5x-5y 70 cl. If I go back 2, I'm going to go up 4. Moses, who had taught secondary school mathematics in New York City and Tanzania, decided that an appropriate goal for those students was to have enough skills in algebra to qualify for honors math and science courses in high school. So this just means, I don't care what your y is, x is just always going to be equal to negative 2. In y=mx+b must b be a whole number(4 votes). 00:30. write the following inequality in slope-intercept form. Negative 8 divided by 2 is negative 4, negative 2x minus 4. Learn to convert equations like 4x + 2y = -8 into slope-intercept form.
His success in producing the first students from the Open Program of the Martin Luther King School who passed the city-wide algebra examination and qualified for ninth grade honors geometry was a testament to his skill as a teacher. If I go back negative 1, so if I go in the x direction negative 1, that means in the y direction I go positive two, because two divided by negative one is still negative two, so I go over here. Still have questions? So another point is (8, 5 8/9). A is a constant term. Gauthmath helper for Chrome. Y is just going to stay at negative 4. So if you move an arbitrary amount in the x direction, the y is not going to change, it's just going to stay at negative 4. And on the right-hand side I have negative 4x minus is 8, or negative 8 minus 4, however you want to do it. Example 1. SOLVED: write the following inequality in slope-intercept form. 5x-5y≥70. y = -13 + 7x. And you get x is equal to negative 2. Let me do a little bit neater.
And this is the x-axis, that's the y-axis, I forgot to label them. Are there any possibility that a linear equation can't convert into slope intercept form? You have to divide every term by 2. Algebra spring break math packet by Algebra Works. How do i find the slope intercept form if the equation is written differently? At2:14how did Sal instantly know the slope of the line? In order to eliminate the coefficient (2) on Y. If the coefficient were left attached to that Y right there, then we would not have a value for Y by itself, which is what the slope-intercept equation requires. So line A, its y-intercept is negative 4. Cancel the common factor.
So let's start with line A, so start with a line A. So line A, it's in standard form right now, it's 4x plus 2y is equal to negative 8. And then draw a line through the two points. The slope is m, and in the first equation is being multiplied by the x, so without the x the slope in the second equation would be -2?
So then we are done. The slope is 5/8, so from your y-intercept point, count right 8 and then go up 5. May 23, 2019, 6:01am. This video might help: I hope that's helpful! Why did he subtract 4?
The left hand side of the equation, these two 4x's cancel out, and I'm just left with 2y is equal to. Answered step-by-step. Feedback from students. Write the following inequality in slope-intercept form 5x-5y 70 7. It is the y intercept, the place where the line crosses the y axis. So we just have to algebraically manipulate these equations into this form. In the coordinate plane, the only type of line with an equation that can't be converted into y = mx + b form (slope-intercept form) is a line with an equation equivalent to the form x = c, where c is a constant. Ask a live tutor for help now. Provide step-by-step explanations.
Koorosh, y=5/8x+8/9 is a linear equation. If x is equal to 0, y is going to be equal to negative 4, you can just substitute that in the graph. Check the full answer on App Gauthmath. Use the slope-intercept method to graph each inequality. Want to join the conversation? So this is line A, let me graph it right now.
Could anybody please tell me how you graph a fractional number, like y=5/8x+8/9(6 votes). So you just want to find any two points. We can rewrite this as y is equal to 0x minus 4, where the y-intercept is negative 4 and the slope is 0. The other method you can use is to plot the y-intercept. So we divide the left-hand side by 2 and then divide the right-hand side by 2. Now we're almost at slope-intercept form. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. So let me subtract 4x from both sides. Write the following inequality in slope-intercept form 5x-5y 70 ans. The Algebra Project was born out of one parent's concern with the mathematics education of his children in the public schools of Cambridge, Massachusetts. Good Question ( 177). And then we are left with y is equal to negative 4 divided by 2 is negative 2x. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign. So the y intercept is at (0, 8/9). On line A why did he divide all terms by 2?
Or you can just interpret it as y is equal to negative 4 no matter what x is. If you choose 0 for x then y=5/8 * 0 + 8/9 = 8/9 so your first point is (0, 8/9). At time3:30you said that you can't make it into slope interval form. How did he get (0, -4) from y= -2x- 4? Rewrite this equation in slope intercept form. This exceptional type of line is a vertical line with undefined slope. B is simply where the line will cross the y-axis when this line is graphed. And the answer is you won't be able to because you this can't be put into slope-intercept form, but we can simplify it. Since it's going to be a national thing, so I'm going to learn above, since it's greater than only. We have our coordinate plane over here. Shouldnt he divide by 4? Y>\frac{2}{5} x-4$$. Back 2 and then up 4. Write the following inequality in slope-intercept form - Home Work Help. Get 5 free video unlocks on our app with code GOMOBILE.
Also what is the x mean in "y=mx+b". Gauth Tutor Solution. Subtract from both sides of the inequality. It's a negative for my style, but it's over five. No, b does not have to be a whole number. And just as a bit of a review, slope-intercept form is a form y is equal to mx plus b, where m is the slope and b is the intercept.
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When this is the case, the service is more complex and often requires other parts to be purchased, such as a new gasket for the cover. Import And Foreign Car Repair. Toledo OH Automotive Differential. It is for this reason these vehicles become difficult to turn and operate on concrete when the four-wheel-drive system is engaged. If your wheels were directly connected by a solid axle, turning your car would cause wheel hop and very unstable handling. The transfer case receives power from the transmission and sends it to both the front and rear axles. We use only top quality and OEM parts, and back our rebuilds with the best warranty in the industry.
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Differential Service. At My Transmission Experts, our techs are certified and specialize in differential transmission repairs. There is a fill hole on most differentials that may have a rubber plug covering it. The differential uses oil, thicker than the oil that goes in the engine.
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