Geometry (lt 8) Writing Equations Of Lines

Geometry - (LT 8) Writing Equations of Lines

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

8.EE.B.5, 4.G.A.1, HSG.CO.A.1

Standards-aligned

Danielle Monks

Used 21+ times

FREE Resource

5 Slides • 11 Questions

Geometry - Writing Equations of Lines

#1 on your paper: Write the equation of the line from the graph.

Slope $m\ =\ -\frac{1}{2}$
y-intercept; b = 2
$Equation;\ \ \ \ y=-\frac{1}{2}x+2$

Multiple Choice

#2 on your paper: Write the equation of the line given the graph.

y = 1/2x - 4

y = -4x + 2

y = 2x - 4

Multiple Choice

#3 on your paper: Write the equation of the line given the graph.

$y=-1x+3$

$y=-\frac{4}{5}x+3$

$y=3x+4$

Parallel and Perpendicular Lines

Parallel - SAME SLOPE and DIFFERENT Y-INTERCEPT
Perpendicular - Opposite Reciprocal

Parallel Slopes

y = 2x - 1 and y = 2x + 5
y = -7x + 6 and y = -7x - 5

Multiple Choice

Which lines are considered Parallel?

$y=2x-6$

y=-2x+6

$y=\frac{1}{2}x+4$

y=-2x-2

$y=-6x+5$

y=-6x-10

Perpendicular Slopes

What do you notice about the pair of pink numbers?
What do you notice about the pair of green numbers?

Multiple Choice

Which lines are considered Perpendicular?

$y=2x-6$
$y=-2x+6$

$y=\frac{1}{2}x+4$

y=-2x-2

$y=-6x+5$

y=-6x-10

Multiple Select

Which lines are considered Neither parallel nor perpendicular? (Select all that apply)

$\ y=-2x+6$

$y=2x-6$

$y=\frac{1}{2}x+4$

$y=2x-2$

$y=-6x+5$

y=\frac{1}{6}x-10

Multiple Choice

#4 on your paper:

Write the equation of the line in slope-intercept form that contains the points (-3,7) and (6,-5). What is the first step?

Multiple Choice

#4 on your paper:

Write the equation of the line in slope-intercept form that contains the points (-3,7) and (6,-5). What did you get for the slope?

$m=-\frac{3}{4}$

$m=-1$

$m=-\frac{4}{3}$

Multiple Choice

#4 on your paper:

Write the equation of the line in slope-intercept form that contains the points (-3,7) and (6,-5). What does the second step look like?

$y+7=-\frac{4}{3}\left(x-3\right)$

$y-7=-\frac{4}{3}\left(x--3\right)$

$y-7=\frac{4}{3}\left(x-3\right)$

Multiple Choice

#4 on your paper:

Write the equation of the line in slope-intercept form that contains the points (-3,7) and (6,-5). What is the equation for the line?

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

$y=-\frac{4}{3}x+11$

$y=-\frac{4}{3}-11$

Multiple Choice

#5 on your paper:

Write the equation of the line in slope-intercept form that contains the point (-1,4) and is parallel to the line: y = -5x - 8. (What is the first step?)

Multiple Choice

#5 on your paper:

Write the equation of the line in slope-intercept form that contains the point (-1,4) and is parallel to the line: y = -5x - 8. (What is the final equation?)

$y=-5x-1$

$y=-5x+9$

$y=-5x+4$

Geometry - Writing Equations of Lines

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