Find the slope of a line parallel to the line whose equation is 5, x, minus, 2, y, equals, 25x−2y=2. Fully simplify your answer.
Question
Find the slope of a line parallel to the line whose equation is:
Fully simplify your answer.
Solution
The equation of the line given is 5x - 2y = 2.
First, we need to convert this equation into slope-intercept form (y = mx + b), where m is the slope of the line.
To do this, we can start by subtracting 5x from both sides of the equation to isolate the term with y:
-2y = -5x + 2
Then, we divide every term by -2 to solve for y:
y = 5/2x - 1
So, the slope of the given line is 5/2.
Since parallel lines have the same slope, the slope of a line parallel to the given line would also be 5/2.
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