Question

Use the given conditions to write an equation for the line in the indicated form.

Passing through (2, 2) and perpendicular to the line whose equation is.y = 4x + 7;
point-slope form

Answer 1

`y - 2 = -(1)/(4) (x - 2)`

Step-by-step explanation:

Given line equation: y = 4x + 7

Perpendicular line slope:
`-(1)/(4)` (negative reciprocal of 4)

Given point: (2, 2)

Point-slope form equation: y - y₁ = m(x - x₁)

Substitute x₁ = 2 and y₁ = 2 into the equation:
`y - 2 = -(1)/(4) (x - 2)`