What are the y-intercept and the slope of the line represented in the graph?
A.
y-intercept = -4 and slope = -2
B.
y-intercept = 4 and slope = -2
C.
y-intercept = 2 and slope = 4
D.
y-intercept = 4 and slope = -4
To find the y-intercept and slope of a line represented in a graph, you need to look at two key points: the y-intercept (where the line crosses the y-axis) and the slope (the rate at which the line is increasing or decreasing).
Looking at the graph, we can see that the line crosses the y-axis at the point (0,-4) or y = -4. This means that the y-intercept is -4.
To find the slope, we can choose any two points on the line and calculate the change in the y-coordinates divided by the change in the x-coordinates. Let's pick two points: (2, -12) and (4, -8).
Change in y-coordinates: -8 - (-12) = 4
Change in x-coordinates: 4 - 2 = 2
Slope = (Change in y-coordinates) / (Change in x-coordinates) = 4/2 = 2
So, the correct answer is A. y-intercept = -4 and slope = -2.