Question

determine the intercepts for the graph of the linear equation.
2x + y = 8
enter the x-intercept as an ordered pair.
(2,0
preview
(2, 0)
thats not it.
enter the y-intercept as an ordered pair.
(0,6)
preview
(0, 6)
not quite.

Explanation:

Step1: Find x-intercept

To find the x-intercept, set \( y = 0 \) in the equation \( 2x + y = 8 \).
Substitute \( y = 0 \): \( 2x + 0 = 8 \)
Simplify: \( 2x = 8 \)
Solve for \( x \): \( x=\frac{8}{2}=4 \)
So the x-intercept is \( (4, 0) \).

Step2: Find y-intercept

To find the y-intercept, set \( x = 0 \) in the equation \( 2x + y = 8 \).
Substitute \( x = 0 \): \( 2(0)+y = 8 \)
Simplify: \( y = 8 \)
So the y-intercept is \( (0, 8) \).

Answer:

x-intercept: \( (4, 0) \)
y-intercept: \( (0, 8) \)