Answer:
Equation: "5x" or "5x + 0"
Step-by-step explanation:
This is a linear function since the change in x and y values is constant. Let "Amy's pay in dollars" be represented by x, and "Sister's pay in dollars" be represented by y. Since x value is going up by +10 every time, that will be our numerator, and since y value is going up by +2 every time, that would be the denominator, according to the slope equation: [tex]\frac{x}{y}[/tex]. Thus it would give the equation as [tex]\frac{10}{2}[/tex], if simplified, our slope will be 5/1 also can be written as 5. Now to find the y-intercept we have to see the y value where x value is 0. To get x = 0 you have to imagine the table given going backwards. Meaning just as how to move to the right of the table by adding 10 to the x-value and 2 to the y-value, you would have to subtract 10 from the x-value and subtract 2 form the y value. Keep doing this until you have 0 for x-value and notice the y-value would be 0. Hence, the y-intercept for this equation would be 0.
Hope this helps, Good Luck!
