SOLUTION: Given (6,-15) is a point on the following line, convert the equation to point-slope form. 6x + 2y = 6

Algebra ->  Linear-equations -> SOLUTION: Given (6,-15) is a point on the following line, convert the equation to point-slope form. 6x + 2y = 6       Log On


   



Question 552157: Given (6,-15) is a point on the following line, convert the equation to point-slope form.
6x + 2y = 6

Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
We are given the problem in standard form and want to get to point slope form.
For point slope form, we need two things, a point (given) and the slope.
Standard form won't tell you the slope, but if you get the equation in slope intercept form we'll see the slope
6x + 2y = 6
Subtract -6x from both sides
2y=-6x+6
y=3x+3
So our slope is 3 (our intercept is also 3 but we don't need that for this problem)
Point slope form is
(y-y1)=m(x-x1)
plug in our point for x1 and y1 and plug in our slope for m
y+15=3(x-6)