For line a:
[tex]y=2x+2[/tex]
For line b:
[tex]y=2x+3[/tex]
For line c:
[tex]y=2x+5[/tex]
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The complete question is as follows:
Lines a, b, and c are parallel. That means they have the same slope.Each of these lines has a slope of 2. Enter numbers to complete an equation for each line.
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Lines are parallel if and only if they have the same slope. So we can write the slope-intercept form of the equation of a lines as the following form:
[tex]y=mx+b \\ \\ \\ m:Slope \\ \\ b:y-intercept[/tex]
In this problem, we have three lines a, b and c having the same slope 2. So we can write three different lines with the same slope and different y-intercept as follows:
For line a:
For a y-intercept:
[tex]b=2[/tex]
Then:
[tex]y=2x+2[/tex]
For line b:
For a y-intercept:
[tex]b=3[/tex]
Then:
[tex]y=2x+3[/tex]
For line c:
For a y-intercept:
[tex]b=5[/tex]
Then:
[tex]y=2x+5[/tex]
Inequalities: https://brainly.com/question/14430254#
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