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!
