Question

Use the ordered pairs to write a function rule. Give the rule in the slope-Intercept form.

A. y=29x−345
B. yy=−3x+26
C. y=−29x+345
D. y=3x−26

Answer 1

The function rule in slope-intercept form for the given ordered pairs is y = 0.13x + 22.715

Step-by-step explanation:

The slope of a line can be calculated using the formula:

slope (m) = (Y2 - Y1) / (X2 - X1)

Using the ordered pairs (294.5, 61) and (364, 70), we can calculate the slope as follows:

slope (m) = (70 - 61) / (364 - 294.5) = 9 / 69.5 ≈ 0.13

Now, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept, to find the equation:

y = 0.13x + b

Next, we can use one of the ordered pairs, such as (294.5, 61), to solve for the y-intercept:

61 = 0.13(294.5) + b

b = 61 - 38.285 ≈ 22.715

Therefore, the function rule in slope-intercept form is: y = 0.13x + 22.715