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Y>\frac{2}{5} x-4$$. Use the slope-intercept method to graph each inequality. So line A, its y-intercept is negative 4. Enjoy live Q&A or pic answer. And on the right-hand side I have negative 4x minus is 8, or negative 8 minus 4, however you want to do it. Plot the point (8, 5 8/9) which is just below of (5, 6). That's the y-intercept for line A. Write the following inequality in slope-intercept form 5x-5y 70 cl. 00:30. write the following inequality in slope-intercept form.
Created by Sal Khan and Monterey Institute for Technology and Education. 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. Write the following inequality in slope-intercept form 5x-5y 70 15. Unlimited access to all gallery answers. Solved by verified expert. And this is the x-axis, that's the y-axis, I forgot to label them. Does the answer help you? 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.
Gauthmath helper for Chrome. So line C, we have 2y is equal to negative 8. Ask a live tutor for help now. Let me just do that. That is line A right there.
The slope is 5/8, so from your y-intercept point, count right 8 and then go up 5. At time3:30you said that you can't make it into slope interval form. So you divide both sides of this equation by 4. So you might say hey, Sal, that doesn't look like this form, slope-intercept form, but it is. In y=mx+b must b be a whole number(4 votes). It's just that the slope is 0. Algebra spring break math packet by Algebra Works. Example 1. y = -13 + 7x. Since it's going to be a national thing, so I'm going to learn above, since it's greater than only. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. So line B, they say 4x is equal to negative 8, and you might be saying hey, how do I get that into slope-intercept form, I don't see a y. So then we are done.
So we just have to algebraically manipulate these equations into this form. Plot the two points, and draw a line through the two point you plotted. So the point 0, negative 4 on this graph. Shouldnt he divide by 4?
So we divide the left-hand side by 2 and then divide the right-hand side by 2. 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. Gauth Tutor Solution. The graph should look something like this: I hope that helps make it click for you. 4. Write the following inequality in slope-interce - Gauthmath. We can divide both sides of this equation by 2, and we get y is equal to negative 4. If you choose 8 for x then y = 5/8 * 8 + 8/9 = 5 + 8/9 = 5 8/9. 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.
And then we are left with y is equal to negative 4 divided by 2 is negative 2x. Now let's do this last character, 2y is equal to negative eight. We're asked to convert these linear equations into slope-intercept form and then graph them on a single coordinate plane. 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. If I go back 2, I'm going to go up 4. Let me do a little bit neater. No, b does not have to be a whole number. 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. On line A why did he divide all terms by 2? Write the following inequality in slope-intercept form 5x-5y 70 km. So that means that if I change x by positive 1 that y goes down by negative 2. We solved the question! Check the full answer on App Gauthmath. So the y intercept is at (0, 8/9).
Back 2 and then up 4. Y is just going to stay at negative 4. A is a constant term. The other method you can use is to plot the y-intercept. That's the point 0, negative 4. Also, if y= mx +b, shouldn't the slope in y = -2x - 4 be -2? Converting to slope-intercept form (video. Still have questions? 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. 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. Or you can just interpret it as y is equal to negative 4 no matter what x is.
At2:14how did Sal instantly know the slope of the line? Enter your parent or guardian's email address: Already have an account? If I go over 2, I'm going to have to go down 4. 5x - 5y is greater than or equal to 70. And then draw a line through the two points. All right, let's do line B. Negative 8 divided by 2 is negative 4, negative 2x minus 4. Subtract from both sides of the inequality.
You can go up to more than five. So another point is (8, 5 8/9). Then you made a line at -2x. This video might help: I hope that's helpful! So let's start with line A, so start with a line A. Learn to convert equations like 4x + 2y = -8 into slope-intercept form. We can rewrite this as y is equal to 0x minus 4, where the y-intercept is negative 4 and the slope is 0. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign. B is simply where the line will cross the y-axis when this line is graphed. So line A, it's in standard form right now, it's 4x plus 2y is equal to negative 8. Are there any possibility that a linear equation can't convert into slope intercept form?
How do i find the slope intercept form if the equation is written differently? Also what is the x mean in "y=mx+b". Have a blessed, wonderful day! The left hand side of the equation, these two 4x's cancel out, and I'm just left with 2y is equal to.
This problem has been solved! In 1982, Robert "Bob" Moses (who had been providing additional math instruction to his daughter) joined, Mary Lou Mehrling, his daughter's eighth grade teacher, to help several students with the study of algebra. We have our coordinate plane over here. Why did he subtract 4? Answered step-by-step.
And remember it is just below the line as you count going up.