Question

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

Answer 1

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

Explanation:

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

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

The `x`-intercept is the point where `y=0`
`0=5x+1`
`x=-1/5`
So the point is: `(-1/5,0)`

The `y`-intercept is the point where `x=0`
`y=5(0)+1`
`y=1`
So the point is: `(0,1)`

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]}