Question

The slop-intercept form of the equation of a line that passes through points (-2,-13) is y=5x-3 what is the point slope form of the equation of the equation for this line

Answer 1

y + 13 = 5(x + 2)

Explanation:

y=5x-3 what is the point slope form of this equation?

The point-slope form looks like y - k = m(x - h), where (h, k) is the given point and m is the given slope.

Here the given point is (-2, -13). Therefore, the desired equation is:

y -(-13) = 5( x - [-2] ), or

y + 13 = 5(x + 2)

Answer 2

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

Explanation:

The given function passes through (-2,-13).

The slope-intercept form of this equation is
`y=5x-3`.

This implies that; the slope of the given function is;

`m=5`

The point-slope form of this function is given by the formula;

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

We have
`(x_1,y_1)=(-2,-13)`

We substitute the point and the slope into the function to obtain;

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

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