Topics
4. Linear Functions
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United States of AmericaUT
Math I

4.06 Point-slope form

Lesson
Practice

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

Write the point-slope form of the equation of a non-vertical line with slope $m$m that passes through the point $\left(x_1,y_1\right)$(x1​,y1​).

Easy
1min

Which of the following is true of a straight line with slope $1$1 going through point $A$A($2$2, $4$4)?

Easy
< 1min

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

Easy
< 1min
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Outcomes

I.F.IF.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior.

I.F.IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

I.F.IF.7.a

Graph linear functions and show intercepts.

I.F.LE.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

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