Question

The equation for line p is y = 2x - 7. Line n is perpendicular to line p and passes through the

point (-4, 5). What is the y-intercept of line n?

Answer 1

The y-intercept is 3.

Explanation:

Perpendicular line have opposite reciprocal slopes.

The slope (m) would be
`(-1)/(2)`

To find the y-intercept use:

y from the point (-4,5)

m =
`(-1)/(2)`

x from the point (-4,5)

y = mx + b

5 =
`(-1)/(2)` (-4) + b

5 = 2 + b Subtract 2 from both sides

5 - 2 = 2 - 2 + b

3 = b

The y-intercept is 3.

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