Given the two points (2, -4) and (3, -7), what is the equation of the line in slope-intercept form? (y = mx + b form)

y = -3x + 2

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(-7 + 4) / (3 - 2)

-3/1

= -3

Then, plug the slope and a point into y = mx + b to find b:

y = mx + b

-4 = -3(2) + b

-4 = -6 + b

2 = b

Then, plug b and the slope into the equation:

y = -3x + 2 is the equation

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step-by-step explanation: