SOLUTION: i am trying to help my daughter with her homework. i cannot solve the problem (-3,6), (3,0); y=x+2. i have to write in slope intercept form the equation of this line passing throu

Algebra ->  Linear-equations -> SOLUTION: i am trying to help my daughter with her homework. i cannot solve the problem (-3,6), (3,0); y=x+2. i have to write in slope intercept form the equation of this line passing throu      Log On


   

Question 107264This question is from textbook algebra 1 concepts and skills
: i am trying to help my daughter with her homework. i cannot solve the problem (-3,6), (3,0); y=x+2. i have to write in slope intercept form the equation of this line passing through the two points. This question is from textbook algebra 1 concepts and skills

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I'm a little confused as to the problem.
"...the equation of this line (y = x+2) passing through the two points (-3, 6) and (3, 0)".
In the first place, the line given by the equation y = x+2 does not pass through the two given points (-3, 6) and (3, 0)!
We can find the equation that does pass through the two ponts as follows:
Starting with the slope-intercept form: y = mx+b, we'll first find the slope, m, using the formula: m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m+=+%280-6%29%2F3-%28-3%29%29
m+=+-6%2F6
m+=+-1 so now we can write:
y+=+%28-1%29x%2Bb Now we need to find the value of b. We do this by substituting the x- and y-coordinates of either one of the two given points into this equation and solving for b. Let's choose the second point (3, 0).
0+=+%28-1%29%283%29%2Bb Simplify.
0+=+-3%2Bb Add 3 to both sides.
3+=+b Now we can write the final equation:
y+=+-x%2B3