9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
<em>Additional comment</em>
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
Answer:
n=-6
Step-by-step explanation:
distribute -7 into (4n+8)
-10n+50=-28n-56-2
combine like terms
-10n+50=-28n-58
add -28n on both sides
-10n+28n+50=-58
combine like terms again
18n+50=-58
subtract 50 on both sides
18n=-108
divide both sides by 18
x=-6
hope this helps