18. Write the equation of the following line in function notation

Step-by-step explanation:

Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:

Let (x₁, y₁) = (-3, 1)

     (x₂, y₂) = (1, -2)

Substitute these points into the formula:

m = -¾

Therefore, the slope of the given line is -¾.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form,  f(x) = mx + b:

f(x) = mx + b

-2 = -¾( 1 ) + b

-2 = -¾ + b

Add ¾ to both sides to solve for b:

-2 + ¾ = -¾ + ¾ + b

Given the slope, m = -¾, and y-intercept, b = , the equation of the line in function notation is:

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