# What is the x- intercept and y- intercept of -y= -(4x+2)-4?

Feb 13, 2016

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

y-intercept = 6

#### Explanation:

I'm going to start by rewriting the equation.

ie - y = - 4x -2 -4 = - 4x - 6

( multiply through by -1) gives : y = 4x + 6

when a straight line crosses the x -axis the y-coord is zero. By letting y = 0 and substituting into the equation will give corresponding x-coord.

let y = 0 : 4x + 6 = 0 $\Rightarrow 4 x = - 6 \Rightarrow x = - \frac{6}{4} = - \frac{3}{2}$

Similarly when the line crosses the y-axis the x-coord will be zero.

let x = 0 : y = 0 + 6 = 6