SOLUTION: Determine the equation of the lines, in slope-intercept form, that contains the points (-5,9) and (-5,-2)

Algebra ->  Linear-equations -> SOLUTION: Determine the equation of the lines, in slope-intercept form, that contains the points (-5,9) and (-5,-2)      Log On


   

Question 173660: Determine the equation of the lines, in slope-intercept form, that contains the points (-5,9) and (-5,-2)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

points (-5,9) and (-5,-2):
Via m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
where------->system%28y%5B2%5D=-2%2Cy%5B1%5D=9%2Cx%5B2%5D=-5%2Cx%5B1%5D=-5%29
Subst.
m=%28-2-9%29%2F%28-5-%28-5%29%29=-11%2F%28-5%2B5%29=-11, SLOPE
Thru points (-5,9):
Via Slope Intercept: y=mx%2Bb
For y-intercept (b):
9=-11%28-5%29%2Bb
9=55%2Bb------>9-55=b
b=-46
.
So therefore, the eqn:-->highlight%28y=-11x-46%29, Line 1 (RED) (Answer)
Thr points (-5,-2):
-2=-11%28-5%29%2Bb
-2=55%2Bb ----->-2-55=b
b=-57
.
So therefore, the eqn:--->highlight%28y=-11x-57%29, Line 2 (GREEN)(Answer)
We see the graph:
---------> see points (-5,9) & (-5,-2) as Line 1 & Line 2 pass thru
Thank you,
Jojo