Question

Can someone please tell me what the equation for this will be.

Answer 1

Answer:

y = 0.8x + 0.5

Step-by-step explanation:

First, find the slope using two pairs of values, (0.5, 0.9) and (0.75, 1.1):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1.1 - 0.9}{0.75 - 0.5} = \frac{0.2}{0.25} = 0.8$

m = 0.8

Find y-intercept, b, by substituting x = 0.5, y = 0.9 and m = 0.8 into y = mx + b

Thus:

0.9 = (0.8)(0.5) + b

0.9 = 0.4 + b

0.9 - 0.4 = b

b = 0.5

To write the equation substitute m = 0.8, and b = 0.5 into y = mx + b.

Thus:

y = 0.8x + 0.5