Find Slope From Two Points Worksheet

6 problems

Finding slope from two points is a fundamental concept in algebra and geometry. It involves calculating the slope of a line given two points on the line. The slope is defined as the ratio of the rise (change in `y`-coordinates) to the run (change in `x`-coordinates). This skill is essential for solving problems involving linear equations and graphing lines.

Algebra 1
Linear Relationship

How Will This Worksheet on "Find Slope from Two Points" Benefit Your Student's Learning?

  • Reinforces understanding of slope through regular practice.
  • Develops critical skills in identifying coordinates and performing arithmetic operations.
  • Enhances problem-solving and analytical abilities.
  • Improves geometric interpretation of slope and line direction.
  • Prepares students for advanced mathematical concepts

How to Find Slope from a Graph?

  • Choose two points on the line whose coordinates are
Show all

Solved Example

Q. Find the slope of the line that passes through (1,5)(1, 5) and (3,6)(3, 6).\newlineWrite your answer in its simplest form.
Solution:
  1. Identify Coordinates: Identify the coordinates of the two points.\newlinePoint 11: (x1,y1)=(1,5)(x_1, y_1) = (1, 5)\newlinePoint 22: (x2,y2)=(3,6)(x_2, y_2) = (3, 6)\newlineWe will use these coordinates to calculate the slope of the line.
  2. Recall Slope Formula: Recall the formula for the slope mm of a line given two points: m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}. We will plug the coordinates of the two points into this formula to find the slope.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula. m=6531m = \frac{6 - 5}{3 - 1}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=12m = \frac{1}{2}
  5. Simplify Fraction: Simplify the fraction if necessary.\newlineIn this case, the fraction 12\frac{1}{2} is already in its simplest form.

What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”