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

Algebra.Com
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)   (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)

RELATED QUESTIONS

Consider the following. Point: (6,1) Line: 6x − 2y =1 (a) Write the... (answered by lwsshak3)
Find an equation of the line L that passes through the point (4,-15) and satisfies the... (answered by mananth)
For the following problem, the slope and one point on a line is given. Use the... (answered by Alan3354)
35. Given a line with equation 5x+2y=6, write an equation in point-slope form of the line (answered by josgarithmetic)
Given the points (-3, 5) and (6, -2): a) Find the slope of the line through the... (answered by Fombitz)
Given the points (-3, 5) and (6, -2): a) Find the slope of the line through the... (answered by Fombitz)
Given the points (-3,5) and (6,-2): a. find the slope of the line through the points b. (answered by josgarithmetic)
Given the points (-3, 5) and (6, -2): (15 points) a) Find the slope of the line... (answered by Boreal)
For the following problem, the slope and one point on a line is given. Use the... (answered by ewatrrr)