The equation y=2x3 has what type of slope?

1 Answer
Mar 4, 2018

It is a straight line

Explanation:

In this type of equation, as it is written in the form y=mx+c. The graph is always a straight line. y stands for the y coordinate, m stands for the gradient, and c stands for the y intercept.

We can check this by plugging in some values for x

x=1
y=2(1)3=5

x=0
y=2(0)3=3

x=1
y=2(1)3=-1

x=2
y=2(2)3=1

x=3
y=2(3)3=3

The y intercept is always the y value when x=0, so, therefore, the y intercept value =3. As shown in the equation.

As you can see, when the x value is increased by one, the y value increases by two, or when the x value decreases by one, the y value decreases by two. Since all the differences are the same, the graph should look like a straight line as pictured below.

Since m is >0, it is a positive slope, if there was no m, there would just be a straight line going across whatever the y intercept was, in this case 3

When drawing the graph written in the form y=mx+c, draw around five points, including some negative, positive, and 0 like I have in the table above.

graph{y=2x-3 [-7.023, 7.024, -3.51, 3.513]}