Please help me with this question: Determine the equation of a line that has a y-intercept of -5 and is parallel to -4x+3y -27 = 0

Answer 1

solve for y

3y=4x+27

y =4x/3 + 0 the slope = the coefficient of the x term

slope = 4/3 = the slope of any parallel line

y = mx + b where b = y intercept, m= slope

y = 4x/3 -5 is the parallel line with y intercept -5

Answer 2

parallel lines have the same slope

first find the slope of the given line, by solving it as y= mx+b

-4x+3y-27=0

3y=4x+27

y= (4x)/3+9

slope is 4/3

using y=mx+b again, to find the equation of the new line

y= (4x)/3-5