Question #033b5

2 Answers
Dec 31, 2017

#y=5x+3#

Explanation:

.

The slope-intercept form of a straight line equation is:

#y=mx+b# where #m# is the slope and #b# is the #y#-intercept. We need to get your problem equation into this form:

#10(x+3/5)=2y#

#10x+6=2y#

Let's divide both sides of the equation by #2#:

#y=5x+3#

Dec 31, 2017

#y=5x+3#

Explanation:

An equation in slope-intercept form is one written as #y=mx+b#

Given: #10[x+3/5]=2y#, to express this equation in slope intercept form, we must solve the equation for #y#.

To solve for #y#, begin by simplifying the left side first by distributing #10# to #(x+3/5)#

#10[x+3/5]=2y#

#10x+30/5=2y->10x+6=2y#

Divide both sides by #2#

#(10x+6)/color(red)2=cancel2/cancelcolor(red)2y#

#5x+3=ylarr**Equation in slope-intercept form**#