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

1 Answer
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 = 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]}