Find the x- and y-intercept of the line. 2x + 3y = –18 x-intercept is –9; y-intercept is –6. x-intercept is 2; y-intercept is 3. x-intercept is –6; y-intercept is –9. x-intercept is 18; y-intercept is 18.
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the equation:
2x + 3y = -18
Find the x and y-intercepts.
Solution:
We can find the x and y-intercepts individually.
x-intercept:
To find for x-intercept, we simply equate the value of y to 0, then solve for x.
2x + 3(0) = -18
2x = -18
Divide both sides by 2 in order to determine the value of x.
2x/2 = -18/2
x-intercept = -9
To find for the y-intercept, we equate the value of x to 0 then solve for y.
2(0) + 3y = -18
3y/3 = -18
y-intercept = -6
Final answer:
x-intercept = -9
y-intercept = -6