Linear Equations and Their Properties

Linear Equations and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains how to find the equation of a line using two forms of linear equations: y = mx + c and y - y1 = m(x - x1). It discusses when to use each form based on given information, such as y-intercept or coordinates. The tutorial demonstrates calculating the gradient using the tangent of an angle and deriving the linear equation. It also covers finding the equations of horizontal and vertical lines through specific points.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two forms of linear equations discussed in the video?

Polar form and Cartesian form

Quadratic form and cubic form

Slope-intercept form and point-slope form

Exponential form and logarithmic form

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When should you use the point-slope form of a linear equation?

When the y-intercept is given

When the slope is zero

When coordinates of a point are given

When the line is vertical

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the gradient of a line calculated using an angle?

Using sine of the angle

Using cosine of the angle

Using tangent of the angle

Using cotangent of the angle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derived linear equation from the given coordinates and angle?

y = 1.73x + 5.19

y = 1.73x - 1.20

y = 1.73x - 5.19

y = 1.73x + 1.20

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the derived linear equation?

-1.20

1.20

3

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of the horizontal line that passes through the y-intercept?

x = -1.20

y = 1.20

y = -1.20

x = 1.20

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find the equation of a horizontal line using the linear equation?

By setting the slope to 0

By setting the y-intercept to 0

By setting y to 0

By setting x to 0

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