Question

Write the equation of the line that is perpendicular to y=2x-7 that passes through (3,1)

Answer 1

Answer:

y=-1/2x-1/2

Step-by-step explanation:

For this, you need to use the point slope formula, (y-y1)=m(x-x1). The slope, m, would be -1/2 since the line we're looking for is perpendicular (meaning the slope is the negative reciprocal of the original slope). The x1 would be 3, and the y1 would be 1.

(y-y1)=m(x-x1)

(y-1)=-1/2(x-3)

y-1=-1/2x-3/2

y=-1/2x-1/2