Question

How do you graph `y=4x+1` using slope and intercept?

Answer 1

graph{y=4x+1 [-10, 10, -5, 5]}

Explanation:

Since the equation is linear/straight in the form `y=mx+c`, you can determine the slope/gradient (`m`) and y-intercept (`c`).

`m=4`
`c=1`

To graph this equation, you'll need to find 2 points on the line and join them together. We know one of the points is (0, 1) as the y-intercept is 1.

You can find another point by substituting an arbitrary number into `x` or `y` in the equation. In this example, I'll substitute 1 into `x` to find the y coordinate where the x coordinate is 1.

`y=4(1)+1`
`y=4+1`
`y=5`

So, the second point would be (1, 5).

If you join the points (0, 1) and (1, 5) on a graph, this would be the line of the equation.