SOLUTION: Use the given conditions to write an equation for each line. Leave each equation in slope intercept form if possible. Passing through (-7,9) and (5,-9)

Algebra ->  Linear-equations -> SOLUTION: Use the given conditions to write an equation for each line. Leave each equation in slope intercept form if possible. Passing through (-7,9) and (5,-9)      Log On


   

Question 351636: Use the given conditions to write an equation for each line. Leave each equation in slope intercept form if possible.
Passing through (-7,9) and (5,-9)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: first find the slope
m=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
.
(-7,9) and (5,-9)
m=+%28%28-9%29+-+9%29%2F%285+-+%28-7%29%29
.
m+=+%28-18%2F12%29+=+%28-3%2F2%29 negative slope tell us line slopes to the left
.
y= mx + b is the slope intercept form of a line, where m is the slope and b the y-intercept
.
y = (-3/2)x + b
.
substituting one of the points (-7,9) to determine b
9 = (-3/2)*-7 +b
9 - (3/2)*7 = b
18/2 - 21/2 = -3/2 = b
.
y = (-3/2)x - 3/2