Question

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x+4y-8

Answer 1

`y = 4x - 5`

Explanation:

rewrite the equation

`x + 4y - 8 = 0 \\ 4y = - x + 8 \\ y = - (1)/(4) x + 2`

perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept

`3 = 4(2) + b \\ 3 = 8 + b \\ b = - 5`