You sell sporting goods. Your wages depend on the value of your sales. One week you sold $3,500 in sporting goods, earning $950. Another week you sold $2,800 in sporting goods, earning $810. Write an equation of the line that represents the situation in standard form. DETAILS!
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slopey= (3500-2800) / (950-810) =700/ 140 =5
y=mx+b is the formula for a line
y=5x+b
substitute
3500=5*950+b
b=-1250
y=5x-1250
y=mx+b is the formula for a line
y=5x+b
substitute
3500=5*950+b
b=-1250
y=5x-1250
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Ok. Make them into points. (x,y) x being the amount you sold and y being the amount you earned.
You have:
x1 , y1 x2 , y2
(3,500, 950) and (2,800, 810)
Find the Slope
y2 - y1 / x2 - x1
(810 - 950) / (2800 - 3500) = .2 So m = .2
Then Plug back a point to get your b.
(Using (3,500 , 950))
y = mx + b
950 = (.2)(3500) + b
950 = 700 + b
b = 250
(Using (2,800 , 810 ))
y = mx + b
810 = (,2)(2,800) + b
810 = 560 + b
b = 250
So your line is
y = .2x + 250
STANDARD FORM
Ax + By = C
You need A to be positive so
move the y term to the other side and 250 to the other side as well.
.2x - y = -250
You have:
x1 , y1 x2 , y2
(3,500, 950) and (2,800, 810)
Find the Slope
y2 - y1 / x2 - x1
(810 - 950) / (2800 - 3500) = .2 So m = .2
Then Plug back a point to get your b.
(Using (3,500 , 950))
y = mx + b
950 = (.2)(3500) + b
950 = 700 + b
b = 250
(Using (2,800 , 810 ))
y = mx + b
810 = (,2)(2,800) + b
810 = 560 + b
b = 250
So your line is
y = .2x + 250
STANDARD FORM
Ax + By = C
You need A to be positive so
move the y term to the other side and 250 to the other side as well.
.2x - y = -250
-
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really?
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Lol
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That's a stupid question