# What are the intercepts of -4y+2x=3?

Aug 18, 2016

x-intercept $= \frac{3}{2}$
y-intercept $= - \frac{3}{4}$

#### Explanation:

This is a linear equation. That is, the equation of a straight line.

When this line crosses the x-axis- the x-intercept, the corresponding y-coordinate at this point will be zero. Substitute y = 0 into the equation to obtain x-intercept.

$\Rightarrow y = 0 \text{ gives } 0 + 2 x = 3 \Rightarrow x = \frac{3}{2}$

Similarly, when the line crosses the y-axis- the y-intercept, the corresponding x-coordinate will be zero. Substitute x = o into equation to obtain y-intercept.

$\Rightarrow - 4 y + 0 = 3 \Rightarrow y = \frac{3}{- 4} = - \frac{3}{4}$
graph{.5x-.75 [-10, 10, -5, 5]}