Question

GIVING BRAINLIEST AND EXTRA POINTS! Write the equation of the linear relationship in slope-intercept form, using decimals as needed. Show your work.
x: 25,35,45,55

y: 94,88,82,76


The equation that represents this relationship is y = ?

Answer 1

For every 10 unit increase in x, there's a 6 unit decrease in y.

Your slope is -6/10 or -3/5.

This gives us y = -3/5 x + b.

Using (25,94), we can solve for b:

    94 = -3/5 (25) + b

    94 = -15 + b

    109 = b

So, y = -3/5 x + 109.

Let's double check it works with x = 45:

  y = -3/5 (45) +109

     = -27 + 109

     = 82

Looks like we're good.