Question

find the x and y intercepts of this linear equation.

\\4x + 8y = 64\\

x-intercept ( ? , )
y-intercept ( , )

Explanation:

Define intercepts on coordinate plane

Using the Coordinate Plane and Ordered Pairs knowledge points

• The \(x\)-intercept occurs where the line crosses the \(x\)-axis, meaning \(y = 0\). It is written as \((x, 0)\).
• The \(y\)-intercept occurs where the line crosses the \(y\)-axis, meaning \(x = 0\). It is written as \((0, y)\).

Calculate the x-intercept

Using the Linear Equations knowledge point

$$
LATEXBLOCK0
$$

The \(x\)-intercept is \((16, 0)\).

Calculate the y-intercept

Using the Linear Equations knowledge point

$$
LATEXBLOCK1
$$

The \(y\)-intercept is \((0, 8)\).

Answer:

Find the \(x\) and \(y\) intercepts of this linear equation.

$$4x + 8y = 64$$

\(x\)-intercept <blank>\((16, 0)\)</blank>
\(y\)-intercept <blank>\((0, 8)\)</blank>