Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Chapter 3.5, Problem 55HP
To determine

To write: The equation of a line that’s slope is 2 and also its equation and graph after reflecting it over the y axis.

Expert Solution & Answer
Check Mark

Answer to Problem 55HP

Equation of the line with slope 2 is and its reflection over y axis is and graphs of both the equations are:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.5, Problem 55HP , additional homework tip 1

Explanation of Solution

Given information: Slope of a line is 2 and it is reflected over y axis.

Formula used: Any equation in slope intercept form is written as y=mx+c where m is its slope and c is its y intercept of the line. Further in reflecting over y axis, only original x coordinates change its sign.

Calculation: So, let any equation of line with slope 2 is,

y = 2x + 1

And its reflected equation over the y axis will be y=2x+1

Also, as y intercept of both is 1, so, one point on its graph be (0,1) and let x=1 ,

  y=2(1)+1=3

So, its another point of original point is (1,3) and accordingly another point on its reflected line be (1,−1) . So, on plotting these points in XY plane, their graphs are found as:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.5, Problem 55HP , additional homework tip 2

Conclusion: So, above are the equations and graphs of required equations with slope 2 and reflecting over the y axis.

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Chapter 3.5, Problem 56HP

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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