Write all linear equations in slope-intercept form.
-Suppose that a sales person observes that if an item is priced at $10 per item then 7 items are sold. If x dollars per item. Find the slope-intercept form of the equation of the line.
A) y = -x + 17
B) y = -x - 3
C) y = x - 3
D) y = x + 17

Question

Quizplus · Accepted Answer

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Given two points (10, 7) and (x, y), the slope m = (y - 7) / (x - 10). Since the sales decrease by 1 item for each $1 increase in price, the slope m = -1. Using the point (10, 7), we can find b: 7 = -1(10) + b, solving for b gives b = 17. Thus, the equation is y = -x + 17.

Write All Linear Equations in Slope-Intercept Form