Answer:
The equation is y = 4x
Step-by-step explanation:
From the table we can pick any 2 points [tex](x_1,y_1) \ \text{ and } \ (x_2, y_2)[/tex] such, we can obtain the slope of the line given 2 points using the following equation
[tex]m = \cfrac{y_2-y_1}{x_2-x_1}.[/tex]
Then we can compare to the given options, or alternatively find the y-intercept using any point of the line, to get a line equation that looks like [tex]y = mx+b[/tex]
Finding the slope.
We can pick the first 2 points, that is (1,4) and (5, 20).
Replacing them on the slope equation give us,
[tex]m=\cfrac{20-4}{5-1}[/tex]
Simplifying we get
[tex]m=\cfrac{16}{4}\\m=4[/tex]
Thus the only option that has slope 4 is the line equation y = 4x which is the right answer for the exercise.
