Question

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((.

Answer 1

Answer:

y = 17x

Step-by-step explanation:

By looking at the y-values of the table, we can see that they increase by 17 for every increase of 1 in the x-values.

This means are slope is 17.

We can prove this by plugging two points into the slope equation: (y₂ - y₁) / (x₂ - x₁)

(1, 17) & (3, 51)

(51 - 17) / (3 - 1)

Simplify the parentheses.

(34)/(2)

Divide.

17

Your slope is 17.

Plug this into your standard slope-intercept equation.

y = 17x + b

To find b, plug in a point to x and y. (1, 17)

17 = 17(1) + b

Multiply.

17 = 17 + b

Subtract.

b = 0

Your equation is: y = 17x + 0 or just y= 17x.

You can also tell by looking at the table. b is the y-intercept, or the value when x = 0. The table shows that when x = 0, y = 0. Therefore, b = 0.

Check your equation by plugging in the other point.

34 = 17(2)

34 = 34

Your equation is correct.

Hope this helps!