Question

= 1

2
3
= 4
= 5
4
A line passes through point (-9, -6) and has a slope of 4/3
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.

Answer 1

4x-3y=-18.

Explanation:

1) common form of slope-interception form: y=slope*x+interception;

2) if according to the condition slope=4/3, thenthe slope-interception form is y=4/3*x+interception;

3) it is possible to calculate the interception if to substitute given coordinates (-9;-6) into the slope-interception form:

-6=4/3*(-9)+interception; ⇒ interception=6, then

4) the slope-interception form is y=4/3*x+6;

5) finally, 3y=4x+18, ⇔ 4x-3y= -18 (A=4, B=-3, C=-18).