How do you find the slope and y intercept of 5x-2y-7=0?

1 Answer
Oct 29, 2015

Answer:

The slope is #5/2# and the y-intercept is #-7/2#

Explanation:

Solve #5x-2y-7=0# for #y#.

Subtract #5x# from both sides.

#-2y-7=-5x#

Add #7# to both sides.

#-2y=-5x+7#

Divide both sides by #-2#

#y=(-5x)/(-2)+(7)/(-2)=#

#y=5/2x-7/2#

The equation is now in slope-intercept form #y=mx+b#, where #m# is the slope, and #b# is the y-intercept.

For the equation #y=5/2x-7/2#, the slope is #5/2# and the y-intercept is #-7/2#.

graph{y=5/2x-7/2 [-10, 10, -5, 5]}