Find the equation of a line parallel to the line y=3/4x-5??
I am not sure how to do this problem, can someone Please help :)
Thank You in advance!
y = (3/4)x + b,
to find b you will need a point on the new line, sub in the values of x and y to find b
Thank You!
To find the equation of a line parallel to the given line y = (3/4)x - 5, we can use the fact that parallel lines have the same slope.
The given line has a slope of 3/4. So the parallel line will also have a slope of 3/4.
Now, we can use the point-slope form of a linear equation to find the equation of the parallel line. The point-slope form is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
Since we don't have any specific points mentioned in the question, we can choose any point on the line to find the equation. Let's assume a point (x1, y1) on the line as (0, 0). You can choose any other point as long as it lies on the line.
Substituting these values into the point-slope form, we get:
y - 0 = (3/4)(x - 0)
Simplifying this equation, we have:
y = (3/4)x
So, the equation of the line parallel to y = (3/4)x - 5 is y = (3/4)x.