Question #04189

1 Answer
Nov 15, 2016

Answer:

The slope-intercept is #2#.

Explanation:

#2x+5y=10# is the standard form for a linear equation.

In order to determine the y-intercept, you need to solve the standard form for #y#. This will result in the slope-intercept form for a linear equation, #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

#2x+5y=10#

Subtract #2x# from both sides.

#5y=-2x+10#

Divide both sides by #5#.

#y=(-2x)/5+10/5#

Simplify.

#y=-2/5x+2#

#m=-2/5#

#b=2#

The y-intercept is #2# when #x=0#, which is point #(0,2)#.

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