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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.

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