Math Problem Statement
Which of the following lines is parallel to: y = 2/5 x - 9?
Solution
To determine which line is parallel to , we need to identify lines with the same slope. Parallel lines share identical slopes but can have different y-intercepts.
The given line has a slope of .
Now, let’s check the slopes of each option:
- — Slope = 7
- — Slope =
- — Slope =
- — Slope =
Only option 2, , has the same slope () as the given line. Therefore, it is the correct answer.
Would you like a more detailed explanation or have any questions?
Here are 5 related questions for further understanding:
- What is the difference between parallel and perpendicular lines in terms of slopes?
- How do you determine if two lines are perpendicular?
- Can two lines with different y-intercepts be parallel?
- How can you identify the slope and y-intercept in an equation in slope-intercept form?
- Why does the y-intercept not affect whether two lines are parallel?
Tip: Remember, in slope-intercept form , the slope determines the line's angle, while the intercept only shifts its position vertically.
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Math Problem Analysis
Mathematical Concepts
Algebra
Slope-Intercept Form
Parallel Lines
Formulas
Slope-intercept form y = mx + b
Theorems
Parallel lines have equal slopes
Suitable Grade Level
Grades 7-9