Identify the slope and y -intercept of the line. Provide the most simplified form of the slope.
a=(0,6)
b=(-2,2)
To find the slope, we first need to calculate the rise and the run between the two points a and b.
Rise = change in y = 6 - 2 = 4
Run = change in x = 0 - (-2) = 2
Slope (m) = Rise / Run
Slope = 4/2 = 2
So, the slope is 2.
To find the y-intercept, we can use the point-slope form of a line equation: y = mx + b, where m is the slope and b is the y-intercept.
Using point a(0,6):
6 = 2(0) + b
b = 6
Therefore, the y-intercept is 6.