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Question 7 of 10

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

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GinnyAnswer
To find the slope of a line that is parallel to the line given by the equation [tex]\( y = 5x + 3 \)[/tex], we need to understand the properties of parallel lines. Two lines are parallel if and only if they have the same slope.

First, recall that a linear equation in the slope-intercept form is given by:

[tex]\[ y = mx + b \][/tex]

where [tex]\( m \)[/tex] represents the slope and [tex]\( b \)[/tex] represents the y-intercept.

In the given equation:

[tex]\[ y = 5x + 3 \][/tex]

we can see that it is already in the slope-intercept form. Here, the coefficient of [tex]\( x \)[/tex] (which is 5) is the slope of the line.

Therefore, for any line to be parallel to this given line, it must have the same slope. Thus, the slope of a line that is parallel to [tex]\( y = 5x + 3 \)[/tex] is:

[tex]\[ 5 \][/tex]
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