Question

Find the equation of the linear function represented by the table below in slope- intercept form 1 2 3 4 y 7 12 17 22 27​

Answer 1

y = 5x + 7

Explanation:

The slope-intercept form of a linear function is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. We're given the y-intercept as 7, so the equation looks like this so far: y = mx + 7.

Next, we have to find the slope using the formula
`(y_2-y_1)/(x_2-x_1)` and pick any two points. I'll pick (0,7) and (1,12).

• 
  `(12-7)/(1-0)`
• 
  `(5)/(1)`
• 
  `5`

This means that m = 5, therefore, making the equation y = 5x + 7.

Have a lovely rest of your day/night, and good luck with your assignments! ♡