(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of
change for the given function from x = −1 to x = 2.
2 answers:
1) Find the graph of a line passing through (-1, 4) and (2, 0).
The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:
The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:
To find b, substitute x and y for one of the given coordinate pairs:
0 = (-4/3)(2) + b
0 = -8/3 + b
8/3 = b
Substitute the b value into the equation to finish the line:
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The area of the triangle can be calculated using the distance formula if the coordinates are given.
<h3>What is the triangle?</h3>The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle with coordinates on the coordinate plane.
It is required to find the area of the triangle using the coordinate points.
Here the coordinates are not given, so we are assuming the coordinates are (x1, y1), (x2, y2), (0,0)
From the distance formula:
The distance(b) between (0, 0) and (x1, y1):
The distance between (0, 0) and (x2, y2):
So the area of the triangle:
A = bh/2
Thus, the area of the triangle can be calculated using the distance formula if the coordinates are given.
Learn more about the triangle here:
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