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 4 items are sold. If 2 items are sold for $12 per item then find a linear equation to model the number y of items sold for x dollars per item. Find
The slope-intercept form of the equation of the line.
A) $y = x - 6$
B) $y = x + 14$
C) $y = - x + 14$
D) $y = - x - 6$

Question

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 4 items are sold. If 2 items are sold for $12 per item then find a linear equation to model the number y of items sold for x dollars per item. Find
The slope-intercept form of the equation of the line. 
A) $y = x - 6$
B) $y = x + 14$
C) $y = - x + 14$
D) $y = - x - 6$

Quizplus · Accepted Answer

The slope $m$ of the line can be found using the two given points $(10, 4)$ and $(12, 2)$ as $m = \frac{2 - 4}{12 - 10} = \frac{-2}{2} = -1$. Using the point-slope form $y - y_1 = m(x - x_1)$ with one of the points, for example, $(10, 4)$, we get $y - 4 = -1(x - 10)$, which simplifies to $y = -x + 14$.

Write All Linear Equations in Slope-Intercept Form y=x−6y = x - 6y=x−6

Write All Linear Equations in Slope-Intercept Form $y = x - 6$