A salesperson receives a weekly salary plus a commission for each computer sold. The table shows the total pay, p, and the number
of computers sold, n. Write an equation in slope-intercept form to
represent this situation.

The equation in slope-intercept form to  represent this situation is (p = 75n + 250) and this can be determined by using the point-slope form of the line.

Given :

Use the formula of point-slope in order to determine the equation of a line. The point-slope form is given by the equation:

where and are the points on the line.

According to the given table, the points on the line are (4,550) and (6,700).

Substitute the value of and in the formula of point-slope form.

Simplify the above expression.

Cross multiply in the above equation.

(p - 550) = 75(n - 4)

p - 550 = 75n - 300

p = 75n + 250

The equation in slope-intercept form to  represent this situation is (p = 75n + 250).

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Step-by-step explanation:

Equation of the situation, in slope-intercept form is given as .

Where,

b = y-intercept

m = slope

n = number of computers sold

p = total cost

All we need to find is the value of m and b.

Using two pairs from the table of values, (4, 550) and (6, 700):

Substitute n = 4, p = 550, and m = 75 in , and find the value of b.

Subtract 300 from each side

b = 250

Substitute m = 75, and b = 250 in

✅Equation that represents the situation would be: