Answer:
Option A is the correct choice.
Step-by-step explanation:
Please find the attachment.
We have been given an equation [tex]y=2x-4[/tex] and we are asked to find the graph that represents our given equation.
We can see that our given equation is slope-intercept form of equation [tex]y=mx+b[/tex], where,
m = Slope of line,
b = The y-intercept or initial value.
So, the graph for our given equation will have a slope of 2 and it will y-axis at y=-4.
Upon looking at our given options we can see that graph represented by option A has a slope of 2.
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Upon substituting coordinates of points (2,0) and (3,3) in slope formula we will get,
[tex]Slope=\frac{2-0}{3-2}[/tex]
[tex]Slope=\frac{2}{1}[/tex]
[tex]Slope=2[/tex]
Therefore, the graph represented by option A is the correct choice.
