What is the equation

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04-10-2021
Mathematics

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What is the equation

Sagot :

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2021-10-05T19:03:05-04:00

9514 1404 393

Answer:

y = -3x -1

Step-by-step explanation:

We can write the equation in slope-intercept form if we know the slope and the y-intercept.

The slope is ...

m = "rise"/"run" = (change in y)/(change in x)

We can see that the line passes through grid intersections at (x, y) = (0, -1) and at (1, -4). Between these two points, the change in y is (-4 -(-1)) = -3, and the change in x is (1 -0) = 1. Then the slope is ...

m = -3/1 = -3

One of the points we just used is the point where the line crosses the y-axis, at the y-intercept of -1. So, with slope -3 and y-intercept -1, the equation of the line is ...

y = mx +b . . . . . . slope m and y-intercept b

y = -3x -1

Sagot :

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