Question

Find the equation of the line passing through the point (1, 7) with a slope of -2.

y = -2x + 7
y = -2x + 5
y = 1x + 7
y = -2x + 9

Answer 1

`y=-2x+9`

Explanation:

we know that

The equation of a line in point slope form is equal to

`y-y1=m(x-x1)`

In this problem we have

`(x1,y1)=(1,7)\\m=-2`

substitute

`y-7=-2(x-1)`

Convert to slope intercept form

`y=mx+b`

`y-7=-2x+2`

`y=-2x+2+7`

`y=-2x+9`