writing linear equations\ndetermine the equation of the linear function that generates the following graph…

Explanation:

Step1: Find two points on the line

The line passes through (0, 800) and (80, 0).

Step2: Calculate the slope $m$

Using the slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, with $(x_1,y_1)=(0,800)$ and $(x_2,y_2)=(80,0)$. So $m=\frac{0 - 800}{80-0}=\frac{- 800}{80}=-10$.

Step3: Determine the vertical - intercept $b$

The vertical - intercept is the y - value when $x = 0$. From the point (0, 800), $b = 800$.

Step4: Write the linear function equation

Substitute $m=-10$ and $b = 800$ into $y=mx + b$. The equation is $y=-10x + 800$.

Answer:

Determine the Slope: -10 Determine the Vertical Intercept (as an ordered pair): (0, 800) Write the equation for the Linear Function: $y=-10x + 800$