Question

Please help ASAP!!!!!!

Answer 1

Equation in point slope form is:
`y+3=4(x+6)`

Solving for y we get:
`\mathbf{y=4x+21}`

Explanation:

We are given:

Slope = 4

Point (-6,-3)

Point Slope form:

We need to write equation for point-slope form

The general equation of point slope form is:
`y-y_1=m(x-x_1)`

Where m is slope and
`y_1\: and\: x_1\\` are points on the line

Now putting values of slope m= 4,
`x_1=-6, y_1=-3` and finding equation

`y-y_1=m(x-x_1)\\y-(-3)=4(x-(-6)\\y+3=4(x+6)`

So, equation in point slope form is:
`y+3=4(x+6)`

Solve for y

`y+3=4(x+6)\\y+3=4x+24\\y=4x+24-3\\y=4x+21`

So, solving for y we get:
`\mathbf{y=4x+21}`