Topics
4. Linear Functions
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United States of AmericaAZ
Algebra 1

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

A1.F-IF.B.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. Include problem-solving opportunities utilizing real-world context. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums. Focus on linear, quadratic, exponential and piecewise-defined functions (limited to absolute value and step).

A1.F-IF.C.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Focus on linear, quadratic, exponential and piecewise-defined functions (limited to absolute value and step).

A1.F-LE.A.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or input/output pairs.

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