Answer:
y - 7 = 3(x + 3) and y = 3x + 16
Step-by-step explanation:
Find the slope first:
As we go from (–3, 7) to (1, –5), x increases by 4 and y increases by 12. Hence, the slope is m = rise / run = 12 / 4, or m = 3.
Next, modify the point-slope form y - k = m(x - h) by inserting the given info:
y - 7 = 3(x -[-3]), or
y - 7 = 3(x + 3)
Note: (h, k) represents the given point, which I have chosen to be (-3, 7).
Next, convert this result to slope-intercept form. Begin by solving this equation for y: y = 7 = 3x + 9, or:
y = 3x + 16
