Question

A line passes through point (-8,-5) and has a slope of -3/4

form for this line.
write an equation in Ax+By =C
Use integers for A, B, and C.​

Answer 1

3x+4y=-44

Explanation:

First, I'd graph in point-slope.

y-y1=m(x-x1)

y+5=-3/4(x+8)

Now, convert it to slope-intercept, y=mx+b.

y+5= - 3/4x-6, subtract 5

y=-3/4x-11

Now you can move to standard form. Add 3/4x to the other side.

3/4x+y=-11, now multiply by 4 on both sides to make all numbers whole.

3x+4y=-44

Answer 2

3x + 4y = -44

Explanation:

Point slope formula: y-y1=m(x-x1)

(x1,y1) = (-8,-5) m=-3/4

y-(-5)= -3/4(x-(-8))

y+5= -3/4(x+8)

y+5=-3/4x -6

y=-3/4x -11

3/4x + y = -11

Multiply through by 4 to get integers for A, B, and C

3x + 4y = -44