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 5, x, minus, 2, y, equals, 25x−2y=2. 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.
Similar Questions
What is the slope of the line given by the equation below?y + 2 = -3(x - 5)A.-3B.-5C.3D.2
What is the slope of a line that is parallel to the line: y = 4 / 5x - 5 ?
Find the slope and the y-intercept of the line.=+5x4y−3Write your answers in simplest form.
Find the slope of a line perpendicular to the line whose equation is 3, x, minus, 5, y, equals, 453x−5y=45. Fully simplify your answer.
What is the slope of the line given by the equation below?y - 20 = 5(x - 2)A.20B.5C.-20D.-2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.