Determine the linear function that goes through the points (10,-2) and (6,0). write answer in slope intercept form

Hello!

To find the the function that goes through the points (10, -2) and (6, 0), we need to use the slope formula, and then find the y-intercept.

The slope formula is: .

Substitute these points into the slope formula.

The slope of the function is -1/2. Then, we need to find the y-intercept. Slope-intercept form is: y = mx + b. In this equation, m is the slope, which is -1/2, and b is the y-intercept. To find the y-intercept, we substitute the slope, and an ordered pair and solve.

0 = -1/2(6) + b

0 = -3 + b (add 3 to both sides)

b = 3

Therefore, the linear function is y = -1/2x - 3.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: