# Chapter 1.1, Problem 1E

### Calculus: Early Transcendental Fun...

6th Edition
Ron Larson + 1 other
ISBN: 9781285774770

Chapter
Section

### Calculus: Early Transcendental Fun...

6th Edition
Ron Larson + 1 other
ISBN: 9781285774770
To determine

To determine: The correct match for the equation y=32x+3 with its graph.

Solution: The equation y=32x+3 corresponds with graph (b).The given equation is linear.

Explanation

Given: y=32x+3

Explanation:

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:

yy1=y2y1x2x1(xx1)

Inserting both points to the two-point form yields the following:

y3=0320(x0)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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