So we need to start by using point slope form.
The general forumla of point slope is:
[tex]Y-Y_1=m(X-X_1)[/tex]
Y₁ Is the Y Coordinate, X₁ is the X Coordinate, and M is the slope. So we plug these numbers into our formula.
[tex]Y--7 = 3(X--4)\\Y+7=3(X+4)[/tex]
Now, In order to solve in slope-intercept form, we have to isloate the Y and make sure it follows Y = mx+b so.
[tex]Y+7 = 3(x+4)\\Y+7 = 3x+12\\Y=3x+5[/tex]
So the equation is Y = 3x+5
