Question

Find the point-slope form of the equation of the line that passes through the given point and has the indicated slope. Point: (-5, -3) Slope:

m = 3

Answer 1

slope : 3

y + 3 = 3(x + 5)

y + 3 = 3x + 15

y = 3x + 12

Answer 2

`y+3=3(x+5)`

Explanation:

Hi there!

We are given that a line has a slope of 3 and contains the point (-5, -3)

We want to find the equation of this line in point-slope form

Point-slope form is given as
`y-y_1=m(x-x_1)`, where m is the slope of the line and
`(x_1, y_1)` is a point on the line

As we are given both a point and the slope, we can immediately plug these values into the formula to find the equation

Starting with the slope, replace 3 with m in
`y-y_1=m(x-x_1)`

`y-y_1=3(x-x_1)`

Now replace
`y_1` and
`x_1` with -3 and -5 respectively

`y--3=3(x--5)`

We can simplify this

`y+3=3(x+5)`

Hope this helps!