linear equation?

Question

help!

Write the equation of the line in the form Ax + By = C given the following.

1. Passing through the intersection of the lines x + 3y - 2 = 0 and 2x - y + 8= 0 and the points (-5,-1).

2. Passing through (-2,12) and has its x-intercept one half its y-intercept.

3. Passing through the vertec C(5, -3) of DABC and perpendicular to the side containing the other two vertices
A(-3,-4) and B(4,5).


THANKS AND GODBLESS

Answer 1

x + 3y - 2 = 0
6x -3 y + 24= 0

add these equations

7x=-22
x=-22/7
y=2x+8
=56/7 - 44/7=12/7

write the line through these two points
(-5,-1).
(-22/7,12/7)

Answer 2

y=5 is a horizontal line each and every time y= a persevering with it rather is a persevering with line(horizontal) vertical is whilst x= a persevering with diagonal line is a linear equation with slope secure (different than 0) y=mx+b is the linear equation