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3.05 Point-slope form

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

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

Rewrite the linear equation $y-7=-\frac{2}{3}\left(x-5\right)$y7=23(x5) to be in standard form.

Medium
4min

Rewrite the linear equation $y+7=-3\left(x+2\right)$y+7=3(x+2) to be in standard form.

Medium
2min

Rewrite the linear equation $y-2=2\left(x-5\right)$y2=2(x5) to be in slope-intercept form.

Medium
1min
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Outcomes

A.F.1

The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.

A.F.1a

Determine and identify the domain, range, zeros, slope, and intercepts of a linear function, presented algebraically or graphically, including the interpretation of these characteristics in contextual situations.

A.F.1c

Write equivalent algebraic forms of linear functions, including slope-intercept form, standard form, and point-slope form, and analyze and interpret the information revealed by each form.

A.F.1di

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: i) given the graph of a line;

A.F.1dii

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: ii) given two points on the line whose coordinates are integers;

A.F.1diii

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: iii) given the slope and a point on the line whose coordinates are integers;

A.F.1f

Graph a linear function in two variables, with and without the use of technology, including those that can represent contextual situations.

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