Studdy AI Logo
Math

QuestionFind the intercepts of the equation −3x+6y=−18-3x + 6y = -18. What are the x-intercept and y-intercept?

Studdy Solution

STEP 1

Assumptions1. The equation of the line is −3x+6y=−18-3x +6y = -18. . We are looking for the x-intercept and y-intercept of this line.

STEP 2

The x-intercept is the point where the line crosses the x-axis. At this point, the y-coordinate is0. So, to find the x-intercept, we set y=0y =0 in the equation of the line and solve for xx.
−x+6(0)=−18-x +6(0) = -18

STEP 3

implify the equation to solve for xx.
−3x=−18-3x = -18

STEP 4

Divide both sides of the equation by -3 to solve for xx.
x=−18−3x = \frac{-18}{-3}

STEP 5

Calculate the value of xx.
x=−18−3=x = \frac{-18}{-3} =The x-intercept is.

STEP 6

The y-intercept is the point where the line crosses the y-axis. At this point, the x-coordinate is0. So, to find the y-intercept, we set x=0x =0 in the equation of the line and solve for yy.
−3(0)+6y=−18-3(0) +6y = -18

STEP 7

implify the equation to solve for yy.
6y=−186y = -18

STEP 8

Divide both sides of the equation by6 to solve for yy.
y=−186y = \frac{-18}{6}

STEP 9

Calculate the value of yy.
y=−186=−3y = \frac{-18}{6} = -3The y-intercept is -3.
The intercepts of the line −3x+6y=−18-3x +6y = -18 are x-intercept =6 and y-intercept = -3.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord