What is the slope of a line that is parallel to [tex]$y = 3x + 5$[/tex]?

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03-07-2024
Mathematics

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What is the slope of a line that is parallel to [tex]$y = 3x + 5$[/tex]?

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GinnyAnsweridn GinnyAnsweridn · Answer 1 · 2024-07-03T13:03:38-04:00

To find the slope of a line that is parallel to the given line, we start by identifying the slope of the given line.

The equation we are given is in the form [tex]$ y = mx + b $[/tex], where:
- [tex]$ m $[/tex] represents the slope of the line.
- [tex]$ b $[/tex] represents the y-intercept of the line.

For the given equation [tex]$ y = 3x + 5 $[/tex]:
- The term [tex]$ 3x $[/tex] indicates that the slope [tex]$ m $[/tex] is [tex]$ 3 $[/tex].

Lines that are parallel to each other have the same slope. Therefore, a line that is parallel to [tex]$ y = 3x + 5 $[/tex] will also have a slope of [tex]$ 3 $[/tex].

So, the slope of any line that is parallel to the given line is:
[tex]\[ 3 \][/tex]

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