Expand your horizons with the diverse and informative answers found on IDNLearn.com. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

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​

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 class=

Sagot :

Answer:

y = 5x + 7

Step-by-step 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 [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and pick any two points. I'll pick (0,7) and (1,12).

  • [tex]\frac{12-7}{1-0}[/tex]
  • [tex]\frac{5}{1}[/tex]
  • [tex]5[/tex]

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! ♡