Question

Line w is perpendicular to the line y = −x − 5 and passes through the point (−2, 4). What is the y-intercept of line w?

Select one:
A. 3
B. 4
C. 5
D. 6

Answer 1

The slope of a line perpendicular to another is the negative reciprocal of the original.  The negative reciprocal of -1 is 1.  The equation will read:

y=x+b

To solve for the y-intercept (b), plug in the given values of x and y:

4=-2+b

*Add 2 to both sides*

D. 6

Hope this helps!!