Question

The equation of line l is -3y + 4x = 9 . Write the equation of a line that is parallel to line l and passes through the point (-12,6)

Answer 1

Answer: y = 3x/4 + 22

Step-by-step explanation:

The equation of line l is -3y + 4x = 9

-3y + 4x = 9

3y = 4x -9

y = (4x -9)/3= 4x/3 - 3

From the slope-intercept equation,

y = mx +c

Where m= slope

Comparing both equations, we have

m = 4/3

If the new line that parallel to line l, that means they have the same slope

So, slope if new line is 3/4.

Points =(-12, 6)

From y = mx + c

x = -12,y = 6

6= 4/3 × -12 + c

6 = -16 + c

c = 6 + 16 = 22

Therefore

The equation of the line that is parallel to line l and passes through the point (-12,6) ,

y = 3x/4 + 22