Question

Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y=4x.

Answer 1

`y-4=-(1)/(4)(x-1)`

`y=-(1)/(4)x+(17)/(4)`

Explanation:

Perpendicular lines have slopes that are negative reciprocals, so the slope of L is -1/4.

Substituting into point-slope form yields

`y-4=-(1)/(4)(x-1)`

Isolating y, the slope-intercept form is

`y-4=-(1)/(4)x+(1)/(4) \\ \\ y=-(1)/(4)x+(17)/(4)`