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Pls help almost due ​

Pls help almost due ​-example-1
User Anssi
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Answer:

y = -0.5x + 5.5

Explanation:

A linear function can be represented in the form of y = mx + b, where m is the slope and b is the y-intercept. The slope of a line is the ratio of the change in y to the change in x (rise over run) and the y-intercept is the point where the line crosses the y-axis.

To find the rule for this linear function, we can use the two points (x1, y1) and (x2, y2) to find the slope m:

m = (y2 - y1) / (x2 - x1)

If we use the points (7, 2) and (5, 3) to find the slope, we have:

m = (3 - 2) / (5 - 7) = 1 / (-2) = -0.5

We can also use the point (x1, y1) to find the y-intercept b:

b = y1 - m * x1

If we use the point (7, 2) to find the y-intercept, we have:

b = 2 - (-0.5) * 7 = 2 + 3.5 = 5.5

So the rule for the linear function is:

y = -0.5x + 5.5

We can confirm this rule by checking the point (x=-1,y=6)

y = -0.5(-1) + 5.5 = 6

User Intl
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