Questions: Lines and Functions Finding x - and y-intercepts of a line given the equation: Basic Find the y-intercept and x-intercept of the line. x-4 y=8 y-intercept: x-intercept:

Lines and Functions

Finding x - and y-intercepts of a line given the equation: Basic

Find the y-intercept and x-intercept of the line.
x-4 y=8
y-intercept:
x-intercept:

Transcript text: Lines and Functions Finding $x$ - and $y$-intercepts of a line given the equation: Basic Find the $y$-intercept and $x$-intercept of the line. \[ x-4 y=8 \] $y$-intercept: $\square$ $x$-intercept: $\square$

Solution

Solution Steps

To find the intercepts of the line given by the equation $x - 4y = 8$, we need to determine where the line crosses the x-axis and y-axis. The y-intercept is found by setting $x = 0$ and solving for $y$. The x-intercept is found by setting $y = 0$ and solving for $x$.

Step 1: Finding the y-intercept

To find the y-intercept, we set $x = 0$ in the equation $x - 4y = 8$: \[ 0 - 4y = 8 \] Solving for $y$, we get: \[ -4y = 8 \implies y = -2 \] Thus, the y-intercept is $-2$.

Step 2: Finding the x-intercept

To find the x-intercept, we set $y = 0$ in the equation $x - 4y = 8$: \[ x - 4(0) = 8 \] This simplifies to: \[ x = 8 \] Thus, the x-intercept is $8$.