Write an equation of the line containing the given point and

Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx + b. (-2, -2); 7x - 8y = 5 The equation of the line is .

Solution

point = ( -2 , -2 )

and parallel to 7x - 8y = 5

finding slope of the given line

8y = 7x - 5

y = 7/8 x - 5/8

slope = 7/8

slopes of parallel lines are identical

hence slope of parallel line would also be 7/8

finding equation of parallel line by using point slope form

y - y1 = m(x-x1)

y - (-2) = 7/8 (x-(-2))

y + 2 = 7/8 (x+2)

y +2 = 7/8 x + 7/4

y = 7/8 x - 1/4