Matching In Exercises 3-6, match the equation with its graph. [The graphs are labeled (a), (b), (c), and (d).] y = − 3 2 x + 3 y = 9 − x 2 y = 3 − x 2 y = x 3 − x
Matching In Exercises 3-6, match the equation with its graph. [The graphs are labeled (a), (b), (c), and (d).] y = − 3 2 x + 3 y = 9 − x 2 y = 3 − x 2 y = x 3 − x
Matching In Exercises 3-6, match the equation with its graph. [The graphs are labeled (a), (b), (c), and (d).]
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Expert Solution & Answer
To determine
The correct match for the equation y=−32x+3 with its graph.
Answer to Problem 1E
Solution: The equation y=−32x+3 corresponds with graph (b).The given equation is linear.
Explanation of Solution
Given:y=−32x+3
Linear equation of the form y=mx+b with slope m and intercept b has a graph of straight line.Take twopoints from the graph (0, 3), (2, 0).
Instead of finding rate of change, first we will write the general formula:
y−y1=y2−y1x2−x1(x−x1)
Inserting both points to the two-point form yields the following:
y−3=0−32−0(x−0)y=−32x+3
Only one graph from the given option is a straight line. In order to verify that graph (b) matches the given equation, two distinct points from the graph must be applied to the two-point form.
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