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

Jun 6, 2017

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

#### Explanation:

Since the equation is linear/straight in the form $y = m x + c$, 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.

$y = 4 \left(1\right) + 1$
$y = 4 + 1$
$y = 5$

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.