Answer:
Slope: [tex]\frac{1}{4}[/tex]
Y-intercept: (0, -2)
Background
Slope can be found using [tex]\frac{rise}{run}[/tex] by looking at a graph, or taking two points from the graph and inputting it into the following equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Y-intercept can be found by looking at the graph where the point intersects the y-axis. The y-intercept should result in (0, y)
Step-by-Step
Slope
Find two definite points where the graph intersects. In this case we are given the points (-4,-3) and (4,-1)
View the image below to see a representation of the [tex]\frac{rise}{run}[/tex] way of finding slope
The slope rises 2 units and runs 8 units
[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
To find the slope using the equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex] plug in the given points into the corresponding parts of the equation:
[tex]\frac{-1-(-3)}{4-(-4)}[/tex]
Solve using algebra
[tex]\frac{2}{8}[/tex]
[tex]\frac{1}{4}[/tex]
Y-intercept
Find the point on the graph that intercepts with the y-axis. This is denoted by a red dot in the image below.
This point is (0, -2)
