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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?

Respuesta :

joseaaronlara

Answer:

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

Step-by-step 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