Question

Which is a graph of the equation y = 2x- 4

Answer 1

The first one because the slope is 2/1 and y-intercept is -4

Answer 2

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.