105k views
5 votes
Find the equation of the line perpendicular to y = -1/2x - 5 that passes through the point (2, 7). Write this line in slope-intercept form.

1 Answer

6 votes

Answer:

y = 2x + 3

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the equation of the line

y = -
(1)/(2) x - 5 ← in slope- intercept form

with slope m = -
(1)/(2)

given a line with slope m then the slope of a line perpendicular to it is


m_(perpendicular) = -
(1)/(m) = -
(1)/(-(1)/(2) ) = 2 , then

y = 2x + c ← is the partial equation

to find c , substitute the point (2, 7 ) into the partial equation

7 = 2(2) + c = 4 + c ( subtract 4 from both sides )

3 = c

y = 2x + 3 ← equation of perpendicular line

User Niru Mukund Shah
by
8.2k points

No related questions found