What is the slope interecept form of the line that passes through the point (4,7) and is parallel to the line y = 3x - 3?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter4: Graphs
Section4.5: Use The Slope–intercept Form Of An Equation Of A Line
Problem 4.103TI: Use slopes and y-intercepts to determine if the lines y=8 and y=6 are parallel.
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What is the slope interecept form of the line that passes through the point (4,7) and is parallel to the line y = 3x - 3? 

Expert Solution
Step 1 : Analysis

Given :

To determine the equation of a line in slope-intercept form that passes through the point (4,7) and is parallel to the line y = 3x - 3.

Step 2 : Simplification

Let the equation of line be y = mx + c, where m is the slope of the line.

The slope of the line y = 3x - 3 is m1 = 3.

We know that two lines are parallel if they have the same slope.

Since the line y = mx + c and y = 3x - 3 are parallel.

m = m1m = 3

The equation of line becomes y = 3x + c

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