Question

What is the equation of the line in slope-intercept form that passes through the point (1, 3) and is perpendicular to the line y = –x + 2?

Answer 1

C=4? but thats not one of the multiple choice

Answer 2

@JayDS

Answer 3

y = x – 4

y = x + 2

y = –x + 2

y = –x – 4

Answer 4

these are the choices

Answer 5

sorry, my bad, I thought I read parallel, if it's perpendicular.

Answer 6

slope-intercept form is y=mx + c
m=gradient/slope
c=y-intercept

we are given a point (1,3) and the hint that it is perpendicular to the line y=-x + 2
when they say perpendicular we need to follow this rule.
m1 x m2 = -1
m1 is the gradient from the equation they have given us which is -1
m2 is the gradient of the unknown equation we want to find.
-1 x m2 = -1
m2 = -1/-1
m2 = 1

now substitute (1,3) and m=-1 into the basic formula.
3=1(1) + c
c= .....

now re-write your whole formula with the gradient and y-intercept(the c value you calculated), and done.