Answer :
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]
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]
