Question

Write the equation of the linear relationship in slope-intercept form, using decimals as needed.

Answer 1

Answer:

y = -0.3x + 103

Step-by-step explanation:

✔️Find the slope (b):

Slope = ∆y/∆x

Using, (25, 95.5) and (35, 92.5),

Slope (m) = (92.5 - 95.5)/(35 - 25) = -3/10 = -0.3

✔️Find the y-intercept (b):

Substitute (x, y) = (25, 95.5) and m = -0.3 into y = mx + b

95.5 = -0.3(25) + b

95.5 = -7.5 + b

95.5 + 7.5 = b

103 = b

b = 103

✔️To write the equation, substitute m = -0.3 and b = 103 into y = mx + b

Thus:

y = -0.3x + 103