2.1 Slope-Intercept Form

Presentation

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.B.5, 8.EE.B.6, 8.F.B.4

Standards-aligned

Lindsey Button

Used 17+ times

FREE Resource

9 Slides • 14 Questions

2.1 Slope-Intercept Form

You will be able to write linear equations in slope-intercept form and interpret the slope and the intercept of a linear model.

Slope-Intercept Form

m represents the slope
$m=slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$
b represents the y-intercept
the y-intercept is where the graph meets the y-axis

Multiple Choice

What does "m" represent in y=mx+b?

y-intercept

slope

macaroni

nothing

Multiple Choice

True or False: The y - intercept of a linear equation is where the line meets the x - axis.

True

False

Multiple Choice

The slope of a linear equation informs one how to get from

one point to the next.

True

False

Multiple Choice

What is the equation of a line with a slope of 2 and a y-intercept of -5?

y = 5x - 2

y = 2x - 5

y = -2x - 5

y = 2x + 5

Multiple Select

Select the slope AND the y - intercept from the following:

y=-\frac{2}{7}x+\frac{1}{9}

$y-intercept=b=\frac{1}{9}$

$y-intercept=b=-\frac{2}{7}$

$slope=m=\frac{1}{9}$

$slope=m=-\frac{2}{7}$

Multiple Choice

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

$-4$

$\frac{3}{2}$

$4$

$-\frac{3}{2}$

EXAMPLE 1: Graph a Linear Equations

What is the graph of

y=\frac{4}{5}x+2

Multiple Choice

Which is the graph of

y=-\frac{5}{2}x+1

Finding the slope and y-intercept when you are given 2 points on the line:

Find the slope (m)
Use the slope (m) from part 1 and the formula: y = mx + b, to find the intercept (b)

Find the Slope Between 2 Points

Find the slope using the slope formula
$m=\frac{y_2-y_1}{x_2-x_1}$

Multiple Choice

Find the slope of the line.

$-\frac{5}{7}$

$\frac{7}{5}$

$-\frac{7}{5}$

$\frac{5}{7}$

Multiple Choice

Find the slope of the line that passes through the following:

\left(10,6\right)\ and\ \left(5,5\right)

$\frac{1}{5}$

$-\frac{1}{5}$

$5$

$-5$

Find the Y-Intercept

Use the slope from the 1st step to plug in for m, in y = mx + b
Use one of your points (x,y), it doesn't matter which one, to replace the x and y in the equation
Solve for b

Write the Equation

Now using your slope (m) and y-intercept (b), write your equation into slope-intercept form.

The only variables you have should be the x and the y.

Multiple Choice

What is the equation of the line that passes through (1, 4) and (2, 1)

y = -3x + 1

y = -3x + 4

y = -3x - 7

y = -3x + 7

Multiple Choice

What is the equation of the line that passes through (-2, 3) and has a slope of 4?

y = -2x + 3

y = 4x - 2

y = 4x + 3

y = 4x + 11

Write an Equation from a Graph

Choose 2 points on the line (HINT: use the y-intercept, if you can)
Use the same process to find the slope and the y-intercept.
If you can see the y-intercept easily, then you do not have to solve for b.

Multiple Choice

Write the equation for the line.

$y=-1x+3$

$y=4x+3$

$y=\frac{1}{4}x+3$

$y=-4x+3$

Open Ended

Jordan will hike the trail shown at a rate of 5 mi/h. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

Type response here

Multiple Choice

What does the y-intercept of the equation represent?

The time the hike will take to complete

The time at which Jordan starts to hike

The rate at which Jordan hikes the trail

The total length of the trail

2.1 Slope-Intercept Form

You will be able to write linear equations in slope-intercept form and interpret the slope and the intercept of a linear model.

Show answer

Auto Play

Slide 1 / 23

SLIDE

Similar Resources on Wayground

19 questions

Exponent Rules

Presentation

•

8th - 9th Grade

20 questions

Changing Percents to Decimals

Presentation

•

21 questions

Pythagorean Theorem Introduction

Presentation

•

8th - 10th Grade

18 questions

Spheres

Presentation

•

8th - 10th Grade

17 questions

Angle and Arcs in a Circle

Presentation

•

8th - 10th Grade

16 questions

U3: Comparing Linear Functions

Presentation

•

8th - 10th Grade

18 questions

Function Notation: Tables and Graphs

Presentation

•

9th - 10th Grade

19 questions

Exponential Functions & Transformations

Presentation

•

9th - 10th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade