Solve the problem

Question

Find the equation of the line which passes through the point (7,-1) and is parallel to the given line. Express your answer in slope intercept form simplify your answer

3y-3=-2(2-x)

Answer 1

3y-3 =-2(2-x)= -4+2x

3y = 2x-1

y = (2/3)x -1/3 with a slope of 2/3

2/3 = (y+1)/(x-7)

y+1 = (2/3)x -(2/3)(7)

y = (2/3)x -14/3-3/3

y = (2/3)x -17/3 in slope intercept form, slope =2/3, intercept =-17/3

Answer 2

Parallel to the given line means it has the same slope. To find the slope, solve the for ”y".

Once you have that slope, use it, as well as the given point (7, -1), in the point-slope form of a line: y - y1 = m(x - x1) where x1 = 7 and y1 = -1