# How do you find the x and y intercepts for y= 4x - 7?

Nov 14, 2015

y-intercept: $\left(- 7\right)$
x-intercept:$\frac{7}{4}$

#### Explanation:

The y-intercept is the value of $y$ where the equation's line crosses the Y-axis.
For all points on the Y-axis, $x = 0$
So the y-intercept is the value of $y$ when $x = 0$

For the given equation this becomes:
$\textcolor{w h i t e}{\text{XXX}} y = 4 \left(0\right) - 7 = - 7$
So the y-intercept is $\left(- 7\right)$

Similarly, the x-intercept is the value of $x$ when $y = 0$

For the given equation this becomes
$\textcolor{w h i t e}{\text{XXX}} 0 = 4 x - 7$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 4 x = 7$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = \frac{7}{4}$

So the x-intercept is $\frac{7}{4}$