SOLUTION: write the slope-intercept form of the equation for the line passing through the given pair of points. (-2,-6) and (9,2)

Algebra ->  Graphs -> SOLUTION: write the slope-intercept form of the equation for the line passing through the given pair of points. (-2,-6) and (9,2)      Log On


   

Question 164863: write the slope-intercept form of the equation for the line passing through the given pair of points. (-2,-6) and (9,2)
Found 2 solutions by Fombitz, padmameesala:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First calculate the slope using the two points.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%282-%28-6%29%29%2F%289-%28-2%29%29
m=%288%29%2F%2811%29
Now use the point-slope form of a line, using the slope and either of the points,
y-y%5Bp%5D=m%28x-x%5Bp%5D%29
y-2=%288%2F11%29%28x-9%29
Now change to slope-intercept form, y=mx%2Bb,
y=%288%2F11%29x-72%2F11%2B2
y=%288%2F11%29x-72%2F11%2B22%2F11
y=%288%2F11%29x-50%2F11
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.
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Plot the graph and verify it goes through the two points.

Answer by padmameesala(42) About Me  (Show Source):
You can put this solution on YOUR website!
slope-intercept form of the equation for the line passing through the given pair of points (x1,y1) and (x2,y2) is
y-y1=(y2-y1)(x-x1)/(x2-x1)
the required line is y-(-2)={9-(-2)}{x-(-6)}/{2-(-6)}
y+2 = 11(x+6)/8
y+2 = (11/8)x + 66/8
y = (11/8)x + (33/4) -2
y = (11/8)x + (25/4)