# What is the y intercept for a line with point (2,0) and a slope of 3/4?

Mar 24, 2018

$\left(0 , - \frac{3}{2}\right)$
The y-intercept is $- \frac{3}{2}$

#### Explanation:

Let's put the equation into slope-intercept form (y=mx+b, where m is the slope and b is the y-intercept)

$y = \frac{3}{4} x + b \rightarrow$ We are trying to find the y-intercept

Let's plug in the point (2, 0) to find the y-intercept

$0 = \frac{3}{4} \cdot 2 + b$

$0 = \frac{3}{2} + b$

$b = - \frac{3}{2} \rightarrow$ This is the y-intercept