What is the slope of a line that is parallel to y= -4x+2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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need assitance if possible 

**1) What is the slope of a line that is parallel to \( y = -4x + 2 \)**

Slope is: [Answer not provided]

**2) What is the slope of a line that is perpendicular to \( y = \frac{4}{3}x - 7 \)**

Slope is: [Answer not provided]

**List the COORDINATES of the vertices of each figure after the given transformation. Don’t forget to use prime notation when you label your points.**

**3) Reflection across the x-axis**

The graph shows a triangle with vertices labeled as \( E \), \( F \), and \( G \) reflected across the x-axis. The new positions of the vertices should be labeled as \( E' \), \( F' \), and \( G' \).

- Original vertices and new vertices coordinates are to be calculated.

**4) Reflection across \( y = 2 \)**

The graph shows a triangle with vertices labeled as \( A \), \( B \), and \( C \) reflected across the line \( y = 2 \). The new positions of the vertices should be labeled as \( A' \), \( B' \), and \( C' \).

- Original vertices and new vertices coordinates are to be calculated.
Transcribed Image Text:**1) What is the slope of a line that is parallel to \( y = -4x + 2 \)** Slope is: [Answer not provided] **2) What is the slope of a line that is perpendicular to \( y = \frac{4}{3}x - 7 \)** Slope is: [Answer not provided] **List the COORDINATES of the vertices of each figure after the given transformation. Don’t forget to use prime notation when you label your points.** **3) Reflection across the x-axis** The graph shows a triangle with vertices labeled as \( E \), \( F \), and \( G \) reflected across the x-axis. The new positions of the vertices should be labeled as \( E' \), \( F' \), and \( G' \). - Original vertices and new vertices coordinates are to be calculated. **4) Reflection across \( y = 2 \)** The graph shows a triangle with vertices labeled as \( A \), \( B \), and \( C \) reflected across the line \( y = 2 \). The new positions of the vertices should be labeled as \( A' \), \( B' \), and \( C' \). - Original vertices and new vertices coordinates are to be calculated.
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Hello. Since your question has multiple parts, we will solve first question for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Q1.

Give that the equation of line,

y =  - 4x + 2

To calculate the slope of given line,

Comparing the slope of given line with standard form of line,

y=mx+cWhere,m=slopeoflinec=y-intercept

After comparing,

m=-4,c=2

 

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