Answer:
Option A is the correct choice.
Step-by-step explanation:
Please find the attachment.
We have been given an equation \(y=2x-4\) 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 \(y=mx+b\), 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.
\(Slope=\frac{y_2-y_1}{x_2-x_1}\)
Upon substituting coordinates of points (2,0) and (3,3) in slope formula we will get,
\(Slope=\frac{2-0}{3-2}\)
\(Slope=\frac{2}{1}\)
\(Slope=2\)
Therefore, the graph represented by option A is the correct choice.
