ANSWER:
STEP-BY-STEP EXPLANATION:
We know that a linear function has the following form:
[tex]\begin{gathered} y=mx+b \\ \text{m is the slope and b is the y-intercetp} \end{gathered}[/tex]
The slope is calculated as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(a)
The slope at a, we calculate it with the points (0, 200) and (25, 100), replacing:
[tex]m=\frac{100-200}{25-0}=\frac{-100}{25}=-4[/tex]
We know that the y-intercept (b) is equal to 200 because it is when x is equal to 0, therefore the equation would be:
[tex]y=-4x+200[/tex]
(b)
The slope at b, we calculate it with the points (0, 200) and (35, 100), replacing:
[tex]m=\frac{100-200}{25-0}=\frac{-100}{25}=-4[/tex]
We know that the y-intercept (b) is equal to 200 because it is when x is equal to 0, therefore the equation would be:
[tex]y=-4x+200[/tex]
