Answer:
- y +6 = (3/2)(x -2) . . . . . . point-slope form
- y = (3/2)x -9 . . . . . . . . . . slope-intercept form
Step-by-step explanation:
You know the slope is given by ...
m = (y2 -y1)/(x2 -x1)
= (-3-(-6))/(4 -2) = 3/2
The point-slope form of the equation of a line through (h, k) with slope m is ...
y -k = m(x -h)
Filling in the values m=3/2, (h, k) = 2, -6), we find the point-slope equation to be ...
y -(-6) = (3/2)(x -2) . . . . point-slope form
Subtracting 6 and eliminating parentheses gives ...
y = (3/2)x -3 -6
y = (3/2)x -9 . . . . . slope-intercept form
