Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
The slope can be found from two points.
The two points from the graph are (1, 9) and (2, 12).
Plugging in the values and evaluating.
The slope of the line is 3.
The y-intercept of the line is where the line cross the y-axis.
The line crosses the y-axis at (0, 6).
The slope-intercept form of the line is:
The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>
<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>
<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>
Thus average rate of change from x = -1 to x = 2 is 2