Question

Write in slope-intercept form an equation of the line that passes through the points (-4, 2) and (6,-3).

Answer 1

Answer:

y = (-1/2)x

Step-by-step explanation:

As we go from (-4, 2) to (6, -3), x (the "run") increases by 10 and y (the "rise") decreases by 5.  Thus, the slope of the line connecting these two points is m = rise / run = m = -5/10, or m = -1/2.

We adapt the slope-intercept form as follows:  y = mx + b becomes

2 = (-1/2)(-4) + b, or

2 = 2 + b.  Therefore, b must be 0.  The desired eequation is y = (-1/2)x.