The equation y=2x-3y=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+cy=mx+c. The graph is always a straight line. yy stands for the yy coordinate, mm stands for the gradient, and cc stands for the yy intercept.

We can check this by plugging in some values for xx

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

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

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

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

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

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

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

Since mm is >0>0, it is a positive slope, if there was no mm, there would just be a straight line going across whatever the yy intercept was, in this case -33

When drawing the graph written in the form y=mx+cy=mx+c, draw around five points, including some negative, positive, and 00 like I have in the table above.

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