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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