Question

Find the equation of the line that is parallel to this line and passes through the point (4,6)

Answer 1

Answer:

2y + 3y = 24

Step-by-step explanation:

Given equation of line,

y = -3/2x + 8

Comparing it to standard equation of line y = mx + c,

m = -3/2 which is slope.

Slope of || lines is same.

So slope of required equation of line will also be same and passes through (4, 6).

Using point slope form:-

=> (y - y1) = m(x - x1)

=> (y - 6) = -3/2(x - 4)

=> 2(y - 6) = -3(x - 4)

=> 2y - 12 = -3x + 12

=> 2y + 3x = 24

This is the required equation.