Question

Question 2 (Multiple Choice Worth 1 points)

(04.02 MC)
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What is the y-intercept of the line perpendicular to the line y = - x + 5 that includes the point (-3,-3)?
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Answer 1

y- intercept = 1

Explanation:

the equation of a line in slope- intercept form is

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

y = -
`(3)/(4)` x + 5 ← is in slope- intercept form

with slope m = -
`(3)/(4)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-(3)/(4) )` =
`(4)/(3)` , then equation of perpendicular line is

y =
`(4)/(3)` x + c

to find c substitute (- 3, - 3 ) into the equation

- 3 = - 4 + c ⇒ c = - 3 + 4 = 1

that is the y- intercept of the perpendicular line is c = 1