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4.06 Point-slope form

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

$y-1=5\left(x-4\right)$y1=5(x4)

Standard form

A

Slope-intercept form

B

Point-slope form

C
c

$5x-3y=8$5x3y=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

AI-F.IF.4

For a function that models a relationship between two quantities: i) interpret key features of graphs and tables in terms of the quantities; and ii) sketch graphs showing key features given a verbal description of the relationship.

AI-F.IF.7

Graph functions and show key features of the graph by hand and by using technology where appropriate. ★

AI-F.IF.7a

Graph linear, quadratic, and exponential functions and show key features.

AI-F.IF.8

Write a function in different but equivalent forms to reveal and explain different properties of the function.

AI-F.LE.2

Construct a linear or exponential function symbolically given: i) a graph; ii) a description of the relationship; iii) two input-output pairs (include reading these from a table).

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