Writing equations from two points

Writing equations from two points

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
8.EE.B.6, 8.F.A.3, 8.EE.B.5

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

FLASHCARD QUESTION

Front

How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

4.

FLASHCARD QUESTION

Front

Given two points (x1, y1) and (x2, y2), how can you find the equation of the line that passes through them?

Back

1. Calculate the slope (m) using m = (y2 - y1) / (x2 - x1). 2. Use one of the points to solve for b in the equation y = mx + b.

5.

FLASHCARD QUESTION

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Tags

CCSS.8.EE.B.5

6.

FLASHCARD QUESTION

Front

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Tags

CCSS.8.EE.B.6

7.

FLASHCARD QUESTION

Front

What is the formula for converting the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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