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Finding Parallel Lines by Comparing Slopes to y=2x+7
Published on March 18, 2026
Algebra
This problem requires finding which graphed line (A-F) is parallel to the line y=2x+7 by matching the target slope of 2 to the slopes calculated from the coordinates on the graph.
Question
Answer
The problem asks to identify all lines among A to F that are parallel to the line given by the equation
Step 1: Determine the slope of the given line.
The equation of the given line is in the slope-intercept form,
For the line
The equation of the given line is in the slope-intercept form,
For the line
Step 2: Understand the condition for parallel lines.
Two lines are parallel if and only if they have the same slope. Therefore, we need to find the slope of each line A through F and see which one equals 2.
Two lines are parallel if and only if they have the same slope. Therefore, we need to find the slope of each line A through F and see which one equals 2.
Step 3: Calculate the slope for each line A to F using points from the graph.
The slope
The slope
We will find two clear points for each line.
Line A (Blue):
Points on Line A:
Points on Line A:
Line B (Purple):
Points on Line B:
Points on Line B:
Line C (Orange):
Points on Line C:
Points on Line C:
Line D (Teal/Light Green):
Points on Line D:
Points on Line D:
Line E (Green):
Points on Line E:
Points on Line E:
Line F (Gray/Black):
Points on Line F:
Points on Line F:
Step 4: Compare the slopes with the target slope (
- •Slope of Line A:
- •Slope of Line B:
- •Slope of Line C:
- •Slope of Line D:
- •Slope of Line E:
- •Slope of Line F:
The only line with a slope of 2 is Line B.
Answer:
The line parallel to
The line parallel to