# The equation of a graph is 4x - 3y = 5. What is the x-intercept? A) 2/3 B) 3/4 C) 5/4 D) 5 /8

Nov 6, 2015

The answer is C) $\frac{5}{4}$.

#### Explanation:

To find the x-intercept, we must set the y-intercept to 0, then solve for x.

$4 x - 3 \left(0\right) = 5 , 4 x - 0 = 5 , 4 x = 5 , \frac{4 x}{4} = \frac{5}{4} , x = \frac{5}{4}$

Nov 6, 2015

C) 5/4

#### Explanation:

Hello!

Normally you would want to solve for $y$, but since you need to find the x-intercept, it would be wise to solve for $x$.

$4 x - 3 y = 5$

Now, we can simply put $0$ in for the $y$ term because the x-intercept means 'when is the y value $0$'?

This means the equation is now:

$4 x = 5$

Now to get $x$ by itself, divide by $4$

x = $\frac{5}{4}$