Question

The slope of line m is 2, and it’s y-intercept is 3. If line l is perpendicular to line m and line l intersects line m at its y-intercept, what is the equation of line l?

Answer 1

The answer to your question is: y = -1/2 x + 3

Explanation:

Data

slope = m = 2

y-intercept = 3

line l is ⊥

Process

1.- Calculate the slope of line l

l = - 1/ m

l = - 1 / 2

(m)(l) = (2)(-1/2)

= -1 As m x l is "-1" the lines are perpendicular

2.- Find the line of line l

Equation y - y1 = m (x - x1)

Point (0, 3)

y - 3 = - 1/2 (x - 0) Substitution

y - 3 = -1/2 x Simplification

y = -1/2 x + 3