Question

Write an equation of a line that passes through the point (2,0) and is perpendicular to the line y=−1/2x+3.

Answer 1

Answer:

y = 2x - 4

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 2.

Plug in the slope and the given point into y = mx + b, and solve for b:

y = mx + b

0 = 2(2) + b

0 = 4 + b

-4 = b

Then, plug in the slope and b into y = mx + b

y = 2x - 4 is the equation of the line