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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

NC.M1.F-IF.4

Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.

NC.M1.F-IF.7

Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.

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