SOLUTION: Write an equation in point-slope form for the line that passes through each point with the given slope. Then graph the equation by graphing the point and use the slope, rise over r

Algebra ->  Linear-equations -> SOLUTION: Write an equation in point-slope form for the line that passes through each point with the given slope. Then graph the equation by graphing the point and use the slope, rise over r      Log On


   

Question 1198626: Write an equation in point-slope form for the line that passes through each point with the given slope. Then graph the equation by graphing the point and use the slope, rise over run, from that point.
(-6, -3), m = 3/4
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 Point-slope template

y+-+%28-3%29+=+expr%283%2F4%29%28x+-+%28-6%29%29

y+%2B+3+=+expr%283%2F4%29%28x+%2B+6%29

To graph this, plot the point (-6,-3)
Then move 3 units up and 4 units to the right to arrive at (-2,0).
A straight line goes through the two points.

This motion of "3 up, 4 right" is directly from the slope of 3/4
slope = rise/run = 3/4
rise = 3 = go up 3 units
run = 4 = go to the right 4 units

Graph: