Question

Write an equation of the line containing the given point and parallel to the given line.

(5, -3): 9x - 2y = 7

Answer 1

Solution given:

9x-2y=7

making it in a form of y=mx+c

9x-7=2y

y=9/2x -7/2

Comparing above equation with y=mx+c

we get

m=9/2

Since it is passes parallel to (5,-3)

slope will be same

now

Equation of line

y-y1=m(x-x1)

y+3=9/2(x-5)

y=9/2x-5/2-3

y=9/2 x-11/2 is a required equation.