Determining Points on Linear Equations

Determining Points on Linear Equations

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

CCSS
8.EE.B.5, HSF.IF.A.1, 8.EE.B.6

+3

Standards-aligned

Created by

Wayground Content

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

FLASHCARD QUESTION

Front

What does it mean for a point to lie on a line represented by a linear equation?

Back

A point (x, y) lies on a line if, when the x-coordinate is substituted into the linear equation, the resulting y-value matches the y-coordinate of the point.

Tags

CCSS.HSF.IF.A.1

3.

FLASHCARD QUESTION

Front

How do you determine if the point (2, 3) lies on the line y = 2x + 1?

Back

Substitute x = 2 into the equation: y = 2(2) + 1 = 5. Since 5 does not equal 3, the point (2, 3) does not lie on the line.

4.

FLASHCARD QUESTION

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

5.

FLASHCARD QUESTION

Front

What is the slope of the line y = -x + 2?

Back

The slope is -1, as it is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5

6.

FLASHCARD QUESTION

Front

How do you check if the point (1, 0) lies on the line y = -x + 2?

Back

Substitute x = 1 into the equation: y = -1 + 2 = 1. Since 1 does not equal 0, the point (1, 0) does not lie on the line.

7.

FLASHCARD QUESTION

Front

What is the y-intercept of the line y = 2x - 9?

Back

The y-intercept is -9, as it is the constant term in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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