A line goes through the points (1, -19), (-4,1), (0, -15), (2, -23). What is the slope and y-
intercept of the line

A line goes through the points 1 19 41 0 15 2 23 What is the slope and y intercept of the line class=

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Answer:

Step-by-step explanation:

The y-intercept is super easy. The y-intercept exists when x = 0; therefore, the point given where x = 0 is found in (0, -15). That means that the y-intercept is -15. Easy enough. Now, the slope.

Since all these points are on the same line, using any 2 of them in the slope formula will get us the slope. I picked the first 2 points (1, -19) and (-4, 1):

[tex]m=\frac{1-(-19)}{-4-1}=\frac{1+19}{-5}=\frac{20}{-5}= -4[/tex]

The y-intercept is -15 and the slope is -4