SOLUTION: Passing through left parenthesis 9 comma 6 right parenthesis(9,6) with​ x-intercept 5

Algebra ->  Linear-equations -> SOLUTION: Passing through left parenthesis 9 comma 6 right parenthesis(9,6) with​ x-intercept 5      Log On


   



Question 1066978: Passing through left parenthesis 9 comma 6 right parenthesis(9,6) with​ x-intercept 5
Found 2 solutions by Edwin McCravy, josgarithmetic:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
"x-intercept 5" means the point (5,0). 

Use the slope formula:

m%22%22=%22%22%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

where (x1,y1) = (5,0)

and where (x2,y2) = (9,6)

m%22%22=%22%22%286-0%29%2F%289-5%29

m%22%22=%22%22%286%29%2F%284%29

m%22%22=%22%223%2F2

Now use the point-slope formula:

y - y1 = m(x - x1)

where (x1,y1) = (5,0)

y - 0 = 3%2F2(x - 5)

y = 3%2F2(x - 5)

y=expr%283%2F2%29x-15%2F2

Edwin

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The equation for the LINE containing points (9,6) and (5,0)

Slope is %286-0%29%2F%289-5%29=6%2F4=3%2F2.

Picking a point, (5,0),
y-0=%283%2F2%29%28x-5%29
Simplify this if you want.