Writing the Equation of a Line Lesson

4 Slides • 4 Questions

1

Rewriting an Equation of a Line

2

Equation of a Line

There are 3 ways to write an equation of a line.
•Slope-Intercept Form y=mx+b
•Point-Slope Form y-y1=m(x-x1 )
•Standard Form Ax+By=C
They are the same equation, just written differently.

3

Let’s Practice

Write the equation in standard form.
- Go from y=mx+b form to Ax+By=C
- No fractions in final answer!

y=4x-18

y=2x+\frac{3}{7}

4

Multiple Choice

Write the equation in standard form.

y=-\frac{1}{2}x-10

1

$2x+2y=20$

2

$2x+y=20$

3

$2x+2y=-20$

4

$x+2y=-20$

5

Multiple Choice

Write the equation in standard form.

y=\frac{1}{3}x+2

1

$-x+3y=6$

2

$3x+y=6$

3

$x+3y=6$

4

$3x-y=6$

6

Let's Practice

Write an equation going from point-slope form $y-y1=m\left(x-x1\right)$ to standard form $Ax+By=C$ .

y-2=\frac{1}{2}\left(x+1\right)\ \

y+3=\frac{2}{3}\left(x-6\right)

7

Multiple Choice

Write the equation in standard form.

y-1=\frac{2}{3}\left(x+6\right)

1

$3x-2y=-15$

2

$2x-3y=-15$

3

$2x+3y=15$

4

$3x+2y=15$

8

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Rewriting an Equation of a Line

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