Question

Choose the equation that represents the line that passes through the point (2, 6) and has a slope of −5.

y = −5x + 2
y = −5x − 6
y = −5x − 4
y = −5x + 16

Answer 1

`y=-5x+16`

Explanation:

we know that

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

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

we have

`point\ (2,6)\\m=-5`

substitute the values

`y-6=-5(x-2)` ----> equation in point slope form

Convert to slope intercept form

`y=mx+b`

Distribute the right side

`y-6=-5x+10`

Adds 6 both sides

`y=-5x+10+6`

`y=-5x+16`