# How do you graph y= -1/2+3 by plotting points?

Jun 18, 2018

Assumption: You mean the question as written.

#### Explanation:

Given: $y = - \frac{1}{2} + 3$

$\implies y = 2 \frac{1}{2} = 2.5$

What we have is $y = \text{some constant value}$

This situation results in a straight line that is parallel to the x-axis and passes through the point $\left(x , y\right) = \left(x , 2 \frac{1}{2}\right)$

In other words: you can use any value you wish for $x$ but $y$ is always $2 \frac{1}{2}$

Plotting points:

Jun 18, 2018

Assumption: You mean the question to be $y = - \frac{1}{2} + 3 x$

#### Explanation:

One of the standardised forms is $y = m x + c$

Where $m$ is the gradient (slope) and $c$ is the y-intercept.

Thus we have:

$y = m x + c \textcolor{w h i t e}{\text{d") -> color(white)("d}} y = 3 x - \frac{1}{2}$