Find an equation for the line perpendicular to y=-1/2x+2
and goes through the point (-9,5).
Write your answer in form y=mx+b.
y = (-1/2)x + 2
In this line equation, the slope m is -1/2, so a perpendicualar line must have a slope of 2, because perpendicualr lines have slopes that are reciprocal and with the inverted sign.
the we can write for the pependicular line: y = 2x + b
Using the fact that it goes throuhg (-9, 5), we can write:
5 = 2(-9) + b
5 = -18 + b
b = 5 + 18 = 23
b = 23
Now we know m = 2 and b = 23, therefore the line equation perpendicular to y = (-1/2)x + 2 is:
y = 2x + 23
Answer:
y = 2x + 23