Question

Which equation represents the relationship shown in the table?

Answer 1

Y=4x because 20/5 equals 4

Answer 2

Answer:

The equation  is y = 4x

Step-by-step explanation:

From the table we can pick any 2 points $(x_1,y_1) \ \text{ and } \ (x_2, y_2)$ such, we can obtain the slope of the line given 2 points using the following equation

$m = \cfrac{y_2-y_1}{x_2-x_1}.$

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 $y = mx+b$

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,

$m=\cfrac{20-4}{5-1}$

Simplifying we get

$m=\cfrac{16}{4}\\m=4$

Thus the only option that has slope 4 is the line equation y = 4x which is the right answer for the exercise.