Question

The slope intercept forth of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point slope

form of the equation for this line?

Answer 1

y + 13 = 5(x + 2)

Explanation:

The point-slope form of an equation:

`y-y_1=m(x-x_1)`

m - slope

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the equation of a line:

`y=5x-3`

therefore the slope m = 5.

Put the value of the slope and the coordinates of the given point (-2, -13) to the equation of a line:

`y-(-13)=5(x-(-2))\\\\y+13=5(x+2)`