Are the graphs of \( y = \frac{3}{8}x - 5 \) and \( y = \frac{3}{8}x + 2 \) parallel?

yes because they have the same slope of 3/8

Answered by Anonymous | 2024-06-10

The graph of y = (3/8)x - 5 and y = (3/8)x + 2 are **parallel **since both graphs have the same slope .
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The graph of two equations is parallel if the slope of each of the equations is the same.
The two equations are:
y = (3/8)x - 5 _____(1)
y = (3/8)x + 2 _____(2)
This is in the form of y = mx + c
Where m is the slope.
Now,
From (1 ) and (2) we see that,
m = 3/8
Thus,
The graphs are parallel.
Learn more about** equation of a line **here:
https://brainly.com/question/23087740
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Answered by swapnalimalwadeVT | 2024-06-16

The graphs of the equations y = 8 3 ​ x − 5 and y = 8 3 ​ x + 2 are parallel since they both have the same slope of 8 3 ​ . Therefore, the two lines will never intersect. In slope-intercept form, lines are parallel if their slopes are equal.
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Answered by swapnalimalwadeVT | 2024-12-23