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

1 Answer
Jun 6, 2017

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.