Topics
2. Equations & Inequalities in Two Variables
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United States of AmericaTennessee
Algebra 1

2.03 Point-slope form

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

For each of the following equations, determine which form they are written in.

a

$y=-4x+5$y=−4x+5

Standard form

A

Slope-intercept form

B

Point-slope form

C
b

$y-1=5\left(x-4\right)$y−1=5(x−4)

Standard form

A

Slope-intercept form

B

Point-slope form

C
c

$5x-3y=8$5x−3y=8

Standard form

A

Slope-intercept form

B

Point-slope form

C
Easy
< 1min

Which of the following equations is in point-slope form?

Easy
< 1min

A line passing through the point $\left(7,1\right)$(7,1) has a slope of $4$4.

Easy
1min

A line passing through the point $\left(6,-4\right)$(6,−4) has a slope of $-5$−5.

Easy
< 1min
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Outcomes

A1.N.Q.A.1

Use units as a way to understand real-world problems.*

A1.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.*

A1.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

A1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

A1.A.CED.A.4

Rearrange formulas to isolate a quantity of interest using algebraic reasoning.

A1.A.REI.D.5

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP5

Use appropriate tools strategically.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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