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]}