Linear Equations and Their Forms

Linear Equations and Their Forms

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers writing equations of lines in algebra, focusing on using different forms such as standard, slope-intercept, and point-slope. It provides problem-solving examples, including scenarios with given points, slopes, and intercepts. The tutorial emphasizes converting equations to standard form and handling fractional values in equations.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the three forms of linear equations discussed in the lesson?

Standard, Slope-Intercept, Point-Slope

Slope-Intercept, Exponential, Logarithmic

Standard, Quadratic, Cubic

Quadratic, Linear, Exponential

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When given a point and a slope, which form is most appropriate to use initially?

Standard Form

Slope-Intercept Form

Point-Slope Form

Quadratic Form

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of a linear equation?

y = mx + b

ax + by = c

y - y1 = m(x - x1)

ax^2 + bx + c = 0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a line has a slope of -1 and a y-intercept of 2, what is its equation in slope-intercept form?

y = -2x + 1

y = x - 2

y = -x + 2

y = 2x - 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the slope of a line given two points?

Subtract the x-values and divide by the y-values

Subtract the y-values and divide by the x-values

Add the x-values and y-values

Multiply the x-values and y-values

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common challenge when converting equations with fractional slopes to standard form?

Avoiding negative y-intercepts

Ensuring the slope is positive

Finding the x-intercept

Eliminating fractions from the equation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a line passes through (3, -2) and (-2, 3), what is the slope of the line?

2

0

-1

1

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