Question

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

Answer 1

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 = mx + b`

Note: m = slope; b = y-intercept

Now correlating this with the given equation,

`y = 3x + 4`

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

Since we know the y-intercept is 4, we get the point`( 0, 4 )`

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 `( 1 , 7 )`.

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 `( -1 , 1)`.

Here is the graph for reference:

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