Please answer the following questions: 8) Find the slope , if it exists, of the
ID: 3099178 • Letter: P
Question
Please answer the following questions:8) Find the slope , if it exists, of the line containing the points (12, 5) and (8, -6).
9) Find the linear function whose graph has the given slope of 5.2 and y-intercept (0, -4).
10) Determine the slope-intercept form of the equation of the line that passes through the points (-2, -3) and (4, 1). What is the y-intercept of this line?
11) Explain the usefulness of the slope concept when describing a line.
12) Alvin is going to claim a depreciation tax credit for his business car. The car cost $25,000 when new, and Alvin anticipates it will be worth $12,000 3 years later. If he uses a straight-line depreciation model, what is the rate of depreciation? That is, what is the slope of the depreciation line?
13) Louis invest $4000, part in a money market account that pays 5% interest yearly and t he remainder in a savings account that pays 3% interest yearly. If, at the end of one year, Louis’s combined investments have earned him $175.00, how much did he invest in the money market account?
Explanation / Answer
8) formula (y2-y1)/(x2-x1) so(-6-5)/(8-12)=11/4
9) formula y-y0=m(x-x0) so
y+4=5.2(x-0) y= 5.2x-4
10)(y2-y1)/(x2-x1) so
(1+3)/(4+2) = 2/3
y-1=(2/3)(x-4) y=(2/3)x-(5/3) 11) by knowing the slope you can find any point of the line
12) the slope would be (13000/3)x
25000-12000=13000
13000/3= gives you how much it depreciates each year 13) He invested 2750 in the money market 2750*.05+1250*.03=175
10)(y2-y1)/(x2-x1) so
(1+3)/(4+2) = 2/3
y-1=(2/3)(x-4) y=(2/3)x-(5/3) 11) by knowing the slope you can find any point of the line
12) the slope would be (13000/3)x
25000-12000=13000
13000/3= gives you how much it depreciates each year 13) He invested 2750 in the money market 2750*.05+1250*.03=175