Question

Slope is 3, goes through the point (-7,-23) what is the equation of the line?

Answer 1

y = 3x - 2

Step-by-step explanation:

The equation of a line with slope m that passes through the point (x1, y1) is:

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

So, replacing m by 3 and (x1, y1) by (-7, -23), we get that the equation of the line is:

`\begin{gathered} y-(-23)=3(x-(-7)) \\ y+23=3(x+7) \end{gathered}`

Now, we can solve for y:

`\begin{gathered} y+23=3x+3(7) \\ y+23=3x+21 \\ y+23-23=3x+21-23 \\ y=3x-2 \end{gathered}`

Therefore, the answer is y = 3x - 2