SOLUTION: write the equation using ax+by=c. the line passes through the point (6,-4) and its y intercept is 5

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: write the equation using ax+by=c. the line passes through the point (6,-4) and its y intercept is 5      Log On


   

Question 891435: write the equation using ax+by=c. the line passes through the point (6,-4) and its y intercept is 5
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You then have two points and can compute the slope.

m=%285-%28-4%29%29%2F%280-6%29
m=-9%2F6
m=-3%2F2

The way standard form for a line works is that m=-(A/B), but I am referring to Ax+By=C, so that this causes no confusion among typical and assigned variables. We have here A=3 and B=2, so we can write:
highlight_green%283x%2B2y=C%29.

We can now find the value of C because we know at least one point of our line. We were given points (6,-4) and (0,5). This work will use the y-intercept.

3%2A0%2B2%2A5=C
0%2B10=C
C=10;
Equation in standard form for our line is highlight%283x%2B2y=10%29.