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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

A1.2.B

Write linear equations in two variables in various forms, including y = mx + b, ax + by = c, and y - y1 = m(x - x1), given one point and the slope and given two points

A1.2.E

Write the equation of a line that contains a given point and is parallel to a given line

A1.3.A

Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, ax + by = c, and y - y1 = m(x - x1)

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