Math Problem Statement

Graph a line that is parallel to the given line. Determine the slope of the given line and the one you graphed in simplest form. Click and drag on the graph to draw a line.

Solution

To help you graph a line parallel to the given line and determine the slope:

  1. Determine the Slope of the Given Line: Find the slope of the given line on the graph. A parallel line will have the same slope.

    In the image, the given line has a positive slope. You can count the rise over run between two points on the line. For example, if you move from one grid point on the line to another, count how many units you go up (rise) and how many units you go right (run). This ratio (rise/run) is the slope.

  2. Draw a Parallel Line: To graph a parallel line with the same slope, select a different point on the grid and draw a line with the same slope. Make sure the slope of your line matches the slope of the given line.

  3. Check Line Placement: As you drag the line on DeltaMath, the system should indicate when the line is correctly parallel (it may change color or give a confirmation).

Let me know if you need further clarification on how to calculate the slope or graph the line!

Would you like further details on any step? Here are some related questions that might help you:

  1. How do I determine the slope of a line from a graph?
  2. What makes two lines parallel or perpendicular?
  3. How can I graph a line given a point and a slope?
  4. What are the characteristics of lines with positive, negative, zero, and undefined slopes?
  5. How can I verify if two lines are parallel without using graphing tools?

Tip: Always remember that parallel lines have identical slopes, while perpendicular lines have slopes that are negative reciprocals of each other.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slopes of Lines
Parallel Lines

Formulas

Slope formula: m = rise/run

Theorems

Parallel lines have the same slope

Suitable Grade Level

Grades 8-10