The slope intercept form of a line is f(x) =mx +b where m = slope and b = y-intercept.
First step is to compare the given equation f(x) = 2x - 5 with the above equation to get the value of m and b.
After comparing the equations we have got m = 2 and b = -5.
Next step is to plot y-intercept: b = -5 on the graph.
Now slope =
We can represent slope =2 as \frac{2}{1} .
Hence, m= \frac{Rise}{Run} =\frac{2}{1} .
By comparing numerator and denominator we will get,
Rise = 2 and run = 1.
Rise= 2 means go 2 unit up and for run =1, move 1 unit to the right. Thefore go 2 unit up and then 1 unit to the right from the y-intercept = -5. So, it would be (-3, 1). Now keep repating this method to get as many point as you want then connect all the points to get the graph of the first equation.
I have attached the graph.
I hope this help to you.