Answer:
y intercept = 3
[tex]m = \frac{1}{3}[/tex] --- slope
Step-by-step explanation:
Given
The attached graph
Required
Determine the slope and the y intercept
The [tex]y\ intercept[/tex] is at the point where [tex]x = 0[/tex].
From the graph:
[tex]y = 3;\ when\ x = 0[/tex]
Hence,
y intercept = 3
Next, we calculate the slope using:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where:
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (9,6)[/tex]
So, we have:
[tex]m = \frac{3 - 6}{0 - 9}[/tex]
[tex]m = \frac{-3}{- 9}[/tex]
[tex]m = \frac{3}{9}[/tex]
[tex]m = \frac{1}{3}[/tex]
