Understanding Linear Equations

Understanding Linear Equations

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

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

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.8.EE.B.6
,
CCSS.8.EE.B.5
,
CCSS.8.F.A.3
The video tutorial explains how to determine the equation of a line passing through two given points. It covers both point slope form and slope intercept form. The process begins with calculating the slope using the formula M = (Y2 - Y1) / (X2 - X1). The tutorial then demonstrates how to write the equation in point slope form using either of the given points. Finally, it shows how to convert the point slope form into slope intercept form by solving for Y.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of determining the equation of a line through two points?

To determine the area under the line

To express the line in mathematical form

To find the distance between the points

To calculate the midpoint of the line

Tags

CCSS.8.EE.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to calculate the slope of a line given two points?

M = X1 + X2 / Y1 + Y2

M = Y2 - Y1 / X2 - X1

M = Y1 + Y2 / X1 + X2

M = X2 - X1 / Y2 - Y1

Tags

CCSS.8.EE.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the line passing through the points (1, 1) and (5, -1)?

-2

2

-1/2

1/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In point-slope form, what does X1, Y1 represent?

The y-intercept of the line

The slope of the line

Any point on the line

The midpoint of the line

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many different point-slope forms can be written for a line?

Infinite

None

Two

One

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting point-slope form to slope-intercept form?

Subtract the y-intercept from both sides

Multiply both sides by the slope

Distribute the slope across the equation

Add the slope to both sides

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope-intercept form of the equation derived from the point-slope form Y - 1 = -1/2(X - 1)?

Y = -1/2X - 3/2

Y = 1/2X + 3/2

Y = 1/2X - 3/2

Y = -1/2X + 3/2

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