SOLUTION: find an equation for the line and write the equation in standard form *through the origin and (7,-8) my answer for the equation in standard form was 7x-y=8 i don't how i got

Algebra ->  Linear-equations -> SOLUTION: find an equation for the line and write the equation in standard form *through the origin and (7,-8) my answer for the equation in standard form was 7x-y=8 i don't how i got      Log On


   



Question 1073393: find an equation for the line and write the equation in standard form
*through the origin and (7,-8)
my answer for the equation in standard form was 7x-y=8 i don't how i got it wrong i did all the steps.
for the slope i got m=-8/7
is my slope wrong??

Found 2 solutions by math_helper, josgarithmetic:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
find an equation for the line and write the equation in standard form
*through the origin and (7,-8)
my answer for the equation in standard form was 7x-y=8 i don't how i got it wrong i did all the steps.
for the slope i got m=-8/7
is my slope wrong??
================================
You got the slope correct.
I usually go for slope-intercept form first (y=mx+b) , then re-arrange to standard form (Ax + By = C).
When I do that I get
y = -(8/7)x + b
and b=0 since the line goes through the origin (y=0 where the line intercepts y-axis), so the slope-intercept form reduces to y = (-8/7)x
Re-arranging to standard form:
7y = -8x
+highlight%288x+%2B+7y+=+0%29+


Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
The line through the point (0,0) and (7,-8); the origin is (0,0), so the both x and y axis intercepts are 0.

You found the correct slope, so what does this mean?
Line's equation is highlight%28y=-%288%2F7%29x%29.

Do you want this in standard form?
y%2A7=-%288%2F7%29%28x%29%287%29

7y=-8x

7y%2B8x=-8x%2B8x

highlight%288x%2B7y=0%29