Question

Find a formula for the linear function depicted in the following graph.

Answer 1

An equation or formula which depicts the linear function in the given graph is y = -6x + 7.

What is a linear function?

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

By critically observing the graph (see attachment) which models the given linear function, we can infer and logically deduce that the line passes through the following points:

Points (x, y) = (0, 7)

Points (x, y) = (2, -5)

Next, we would determine the slope of this linear function as follows:

$Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

Slope, m = (-5 - 7)/(2 - 0)

Slope, m = -12/2

Slope, m = -6

For the equation of this line, we have:

y - y₁ = m(x - x₁)

y - 7 = -6(x - 0)

y - 7 = -6x - 0

y = -6x + 7.

Read more on linear function here: brainly.com/question/6978079

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