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Sagot :
Answer:
The slope of the line parallel to the given line is 3/4
Explanation:
Given the line
[tex]y=\frac{3}{4}x-2[/tex]The line parallel to the above has the same slope 3/4 but different y-intercept.
It is in the form:
[tex]y=\frac{3}{4}x+b[/tex]Where x and y are the coordinates of the point (-4, -1) and b is the y-intercept.
Using x = -4, and y = -1, we can obtain the value of b.
[tex]-1=\frac{3}{4}(-4)+b[/tex][tex]-1=-3+b[/tex]Add 3 to both sides
[tex]b=2[/tex]Therefore, the equation is:
[tex]y=\frac{3}{4}x+2[/tex]
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