How do you graph y=3x+4 using the slope and intercept?

Apr 25, 2017

See detailed explanation.

Explanation:

I'm sure that you know the formula for slope-intercept form but if you don't, here it is:

$y = m x + b$

Note: m = slope; b = y-intercept

Now correlating this with the given equation,

$y = 3 x + 4$

m(slope) = 3, and b(y-intercept) = 4.

Since we know the y-intercept is 4, we get the point$\left(0 , 4\right)$

With a point and the slope, we can figure out the next points.

For instance, since the slope is $3$, the next point will be $3$ units up and $1$ unit to the right of the previous.

So the next point after the y-intercept would be $\left(1 , 7\right)$.

To get a previous point, the point will be $3$ units down and $1$ unit to the left instead.

So the point before the y-intercept would be $\left(- 1 , 1\right)$.

Here is the graph for reference:

graph{3x+4 [-9.75, 10.25, -1.48, 8.52]}