Question

Through: (-4, 3), perp. to y = -2x+5

Answer 1

y =
`(1)/(2)` x + 5

Explanation:

Perp means perpendicular?

Perpendicular slopes are the opposite reciprocals of each other. So the slope would be
`(1)/(2)`

Use -4 for x and 3 for y and the slope of
`(1)/(2)` to find the y intercept

y=mx +b

3 =
`(1)/(2)`(-4) + b

3 = -2 + b Add 2 to both sides

5 = b

y = mx +b We know the slope (m) is
`(1)/(2)` and the y intercept (b) is 5.

y=mx+ b

y =
`(1)/(2)` x + 5