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2 years ago

What is the graph description for y=-10x

1 answer:

8 0

Y = - 10x has a negative slope, m = -10, and a y-intercept of (0, 0).

The graph includes the following points:

{(-2, 20), (-1, 10), (0, 0), (1, -10), (2, -20)}.

Attached is a screenshot of the graph, where it includes the y-intercept crossing along the point of origin, (0, 0).

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Vsevolod [243]

It may be convenient here to write the equation of the line as

... ∆y(x -x0) -∆x(y -y0) = 0

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_____

You can work directly with the values in the table. The y-value increases by 5 from one line to another, while the x-value increases by 6. Thus, to make the y-value decrease by 5 from the first point, we need to decrease that point's x-value by 6 to -21. That is, the x-intercept is (-21, 0).

Similarly, the x-value need to increase by only 3 from the last point. That amounts to half of the usual increase of 6. Thus the y-intercept will be the last point plus have the usual y-increase of 5, or 15+2.5 = 17.5. That is, the y-intercept is (0, 17.5).

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<img src="https://tex.z-dn.net/?f=%5Csmall%7B%5Ccolorbox%7Bblack%7D%7B%5Cred%7B%5Cboxed%7B%7B%20%5Csf%5C%3A%20%5Ccolor%7Bhotpink

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