# How do you graph  y = -3x + 4 ?

Jul 19, 2015

Your graph will be a straight line. You can set values for $x$ and evaluate the correspondent $y$ to find the point(s) used to plot your line.

#### Explanation:

This equation corresponds graphically to a straight line.
The line is inclined downwards and this can be seen by its slope $- 3$ which is the coefficient of $x$. This negative slope tells you that every time $x$ increases of $1$ unit then $y$ decreases of $3$.

The line also cross the $y$ axis at $4$.

We can plot the line with two points only that can be found as:
set $x = 0$ then $y = 4$ the y-intercept;
set $x = 1$ then $y = - 3 + 4 = 1$
So you get: