Find an equation for the line below.

Recording the coordinates of the two red dots, we get (-1,-2) and (3,-4).

The slope of the line through these two points is:

-4 + 2 -2

m = = = -1/2

3 - (-1) 4

Substitute this slope and the coordinates of point (3,-4) into y = mx + b to determine the y-intercept (b):

-4 = (-1/2)(3) + b This simplifies to -4 + 3/2 = b, so that b = -5/2

Thus, the equation of this line is y = (-1/2)x - 5/2

2

step-by-step explanation:

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