Find an equation of the line that (a) has the same y-intercept as the line y + 12 x + 2 = 0 y+12x+2=0 and (b) is parallel to the line 7 x − 3 y = − 9 7x-3y=-9

Question

need help solving the question above, and also step by step of how to do it.

Answer 1

Rewrite equation (a) in slope-intercept form:

 

y + 12x + 2 = 0

y = -12x - 2

 

The y-intercept is (0,-2).

 

Rewrite equation (b) in slope-intercept form:

 

7x - 3y = -9

-3y = -7x - 9

y = 7/3x + 3

 

The slope is 7/3.

 

Now, use the slope and y-intercept to write the new equation:

 

y = 7/3x - 2