Question

Find the x- and y-intercept of the line. x + 4y = 36 x-intercept is 36; y-intercept is 9. x-intercept is 1; y-intercept is 4. x-intercept is 9; y-intercept is 36. x-intercept is 4; y-intercept is 1.

Answer 1

see explanation

Explanation:

Given

x + 4y = 36

To find the x- intercept, let y = 0 in the equation and solve for x

x + 0 = 36 ⇒ x = 36 ← x- intercept

To find the y- intercept let x = 0 in the equation and solve for y

0 + 4y = 36 ⇒ y = 9 ← y- intercept

Answer 2

x-intercept is 36; y-intercept is 9.

Explanation:

Given equation of the line,

`x+4y=36`

For x-intercept ( the point at which the line intersects the x-axis ),

y = 0,

`\implies x+4(0) = 36`

`x=36`

⇒ The value of x-intercept is 36,

Now, for y-intercept( the point at which the line interests the y-axis )

x = 0,

0 + 4y = 36

⇒ y = 9

⇒ The value of y-intercept is 9.

Hence, first option is correct.