Respuesta :
Answer:
see explanation
Step-by-step 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:
x-intercept is 36; y-intercept is 9.
Step-by-step explanation:
Given equation of the line,
[tex]x+4y=36[/tex]
For x-intercept ( the point at which the line intersects the x-axis ),
y = 0,
[tex]\implies x+4(0) = 36[/tex]
[tex]x=36[/tex]
⇒ 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.
