9514 1404 393
Answer:
- y -7 = -3/4(x +8)
- y = -3/4x +1
Step-by-step explanation:
The slope of a line in the form ...
ax +by = c
is ...
m = -a/b
So, the slope of the given line is ...
-4/(-3) = 4/3
The slope of the perpendicular line is the opposite reciprocal of this,
m' = -1/(4/3) = -3/4
__
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Then your perpendicular line with slope -3/4 through point (-8, 7) is ...
y -7 = -3/4(x +8)
Rearranging to slope-intercept form, we get ...
y = -3/4x -3/4(8) +7
y = -3/4x +1
