Question

graph each equation by writing two linear equations.

y= |4x+3|

Answer 1

First we need to find when 4x+3 equals 0.
4x+3 = 0
4x = -3
x = -3/4.

So when x < -3/4, 4x + 3 will be negative. Therefore, y = -(4x + 3) = -4x - 3
When x > -3/4, 4x + 3 will be positive. Therefore, y = +(4x + 3) = 4x + 3

Those are the two linear equations:
y = -4x - 3 for x < -3/4
y = 4x + 3 for x > -3/4