Question

The point-slope form of a line that has a slope of –2 and passes through point (5, –2) is shown below.

y + 2 = negative 2 (x minus 5)

What is the equation in slope-intercept form?
y = negative 2 x + 12
y = negative 2 x + 8
y = negative 2 x minus 7
y = negative 2 x minus 3

Answer 1

y = negative 2 x + 8

Explanation:

y + 2 = negative 2 (x minus 5)

y + 2 = -2x + 10

y = -2x + 10 - 2

y = -2x + 8

Answer 2

y =-2x+8

Explanation:

We have a point and a slope

(5,-2) and m =-2

The slope intercept form of a line is

y = mx+b

y = -2x+b

Substitute in the point

-2 = -2(5)+b

-2 = -10+b

Add 10 to each side

-2+ 10 = -10+10 +b

8 = b

The equation is

y =-2x+8