# How do you graph -5x+y=1?

Apr 1, 2017

Start by finding the $x$- and $y$-intercepts. Then draw the line connecting those points to get the graph for $- 5 x + y = 1$.
(See explanation for graph)

#### Explanation:

It might help to rewrite the equation in $y = m x + b$ form (general form) to give: $y = 5 x + 1$.

When graphing equations, it's easiest to start with the points of intercepts.

The $x$-intercept is the point where $y = 0$
$0 = 5 x + 1$
$x = - \frac{1}{5}$
So the point is: $\left(- \frac{1}{5} , 0\right)$

The $y$-intercept is the point where $x = 0$
$y = 5 \left(0\right) + 1$
$y = 1$
So the point is: $\left(0 , 1\right)$

Plotting these two points on a graph and drawing the line through them (with a slope of 5), gives:
graph{5x+1 [-2.448, 2.552, -0.58, 1.92]}