Question

Create an equation in slope intercept form given a point and a slope or given two points

Answer 1

So we need to start by using point slope form.

The general forumla of point slope is:

$Y-Y_1=m(X-X_1)$

Y₁ Is the Y Coordinate, X₁ is the X Coordinate, and M is the slope. So we plug these numbers into our formula.  

$Y--7 = 3(X--4)\\Y+7=3(X+4)$

Now, In order to solve in slope-intercept form, we have to isloate the Y and make sure it follows Y = mx+b so.  

$Y+7 = 3(x+4)\\Y+7 = 3x+12\\Y=3x+5$

So the equation is Y = 3x+5