Question

Find the x-intercept and y-intercept of the line. 7x + 3y = -21

Answer 1

x- intercept = - 3 , y- intercept = - 7

Explanation:

to find the x- intercept , the point where the line crosses the x- axis

let y = 0 in the equation and solve for x

7x + 3y = - 21 ( substitute y = 0 )

7x + 3(0) = - 21

7x + 0 = - 21

7x = - 21 ( divide both sides by 7 )

x = - 3 ← x- intercept

to find the y- intercept, the point where the line crosses the y- axis

let x = 0 in the equation and solve for y

7(0) + 3y = - 21

0 + 3y = - 21

3y = - 21 ( divide both sides by 3 )

y = - 7 ← y- intercept