# 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
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## Solved Example

Q. Find the slope of the line that passes through $(1, 5)$ and $(3, 6)$.$\newline$Write your answer in its simplest form.
Solution:
1. Identify Coordinates: Identify the coordinates of the two points.$\newline$Point $1$: $(x_1, y_1) = (1, 5)$$\newline$Point $2$: $(x_2, y_2) = (3, 6)$$\newline$We will use these coordinates to calculate the slope of the line.
2. Recall Slope Formula: Recall the formula for the slope $m$ of a line given two points: $m = \frac{y_2 - y_1}{x_2 - x_1}$. 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. $m = \frac{6 - 5}{3 - 1}$
4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.$\newline$$m = \frac{1}{2}$
5. Simplify Fraction: Simplify the fraction if necessary.$\newline$In this case, the fraction $\frac{1}{2}$ is already in its simplest form.

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