Answer
a) We can expect the slope of the line to be -1. This is because slope is also known as rate of change, and using two points this slope can be calculated. Two points on this graph are (0,2) and (1,1). The rate of change is known as $ \frac{1-2}{1-0} $. This translates to -1.
b) The equation of the line shown is $ y= -x +2 $. This is calculated by using the y-intercept, which is 2, and the slope, which is -1.
c) No it does not. This is because the slope will stay constant regardless of the points used to find it. The rate of change is constant in a line, and so any two points used to find the slope will result in the same equation.
Work Step by Step
Explanation above.
