How to find the x and y-intercept given #3y=-6x+3#?

2 Answers
Hope It Helps
Apr 8, 2018

x-intercept #=1/2#

y-intercept #=1#

Explanation:

#3y=-6x+3#

To find the x-intercept, set y equal to zero:

#3(0)=-6x+3#

#0=-6x+3# (Subtract 3 from both sides)

#-3=-6x# (Divide both sides by -6)

#1/2=x#

To find the y-intercept, set x equal to zero:

#3y=-6(0)+3#

#3y=0+3#

#3y=3# (Divide both sides by 3)

#y=1#

Jim G.
Apr 8, 2018

#"x-intercept "=1/2," y-intercept "=1#

Explanation:

#"to find the intercepts, that is where the graph crosses "#
#"the x and y axes"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercept"#

#3y=-6x+3rArry=-2x+1#

#x=0rArry=0+1=1larrcolor(red)"y-intercept"#

#y=0rArr-2x+1=0rArrx=1/2larrcolor(red)"x-intercept"#
graph{(y+2x-1)((x-1/2)^2+(y-0)^2-0.04)((x-0)^2+(y-1)^2-0.04)=0 [-10, 10, -5, 5]}

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