When jeans sell for $80, 5 pairs are sold each day. when jeans are on sale for $40, 13 pairs of jeans are sold each day.
a) Calculate the slope
b) Calculate the y-intercept
(a) you have two points: (80,5) and (40,13)
so, the slope is (13-5)/(40-80) = 8/-50 = -1/5
Now you have a point and a slope, so the line is
y-5 = -1/5 (x-80)
I assume you can convert that to slope-intercept form for part (b)
a) To calculate the slope, we need to use the following formula:
slope = (y2 - y1) / (x2 - x1)
In this case, we can consider the pairs of jeans sold each day as the dependent variable (y) and the price of the jeans as the independent variable (x). Let's choose two points: (80, 5) and (40, 13).
Using the formula, we have:
slope = (13 - 5) / (40 - 80)
slope = 8 / -40
slope = -0.2
Therefore, the slope is -0.2.
b) To calculate the y-intercept, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Using the point (80, 5), we can substitute the values into the equation and solve for b:
5 = -0.2 * 80 + b
5 = -16 + b
b = 5 + 16
b = 21
Therefore, the y-intercept is 21.