Question

Use the graph, which shows the profit,y, in thousands of dollars, of a company in a given year, t, where t represents the number of years since 1980.linear graph with negative slope with points (15,150) and (25,130)Find the linear function y, where y depends on t, the number of years since 1980. Type your function in slope intercept form (y=mx+b) without any commas or spaces and be sure to use a lowercase t for your variable.The linear function is y=Answer

Answer 1

First, locate any two point from the line.

(15, 150) and (25, 130)

x₁ = 15 y₁= 150

x₂ = 25 y₂ = 130

$\text{Slope(m)}=\frac{130-150}{25-15}$$=\frac{-20}{10}$

$=-2$

Next, is to find the intercept.

Substitute x=15 y=150 and m=-2 into y=mx + b and solve for b

That is;

150 = 15(-2) + b

150 = -30 + b

Add 30 to both-side of he equation

150 + 30 = b

180 = b

Form the equation by substituting m=-2 and b=180 into y=mx + b

y = -2x + 180

Hence, the line function is y = -2x + 180