Equations of a Line Lesson 1-3

General Equations

100

What is Slope Intercept Form

y=mx+b

200

What is Point-Slope Form?

y-y₁=m(x-x₁)

300

What is Standard Form?

Ax+By=C

400

What is the General Form?

Ax+By+C=0

500

Is this written in Standard Form?

2x+2/3y=15

No - There should be NO fractions.

Write in Standard Form

100

4y-8=6x+10

6x-4y=-18

200

7y-3=4x+5

4x-7y=-8

300

4.5y-2.8x+6=8.2

28x-45y=-22

400

1/2x=7/5-3/4y

10x+15y=28

500

5/9y=-7/3x+8/5

105x+25y=72

Write in Slope Intercept Form

100

12x+4y=20

y=-3x+5

200

15x+3y=18

y=-5x+6

300

7x+3y=14

y=-7/3x+14/3

400

3/4x-5/6y=2

y=9/10x-12/5

500

5/9y=-7/3x+8/5

y=-21/5x+72/25

Write in Point-Slope Form

100

(3,-2)

m=5

y+2=5(x-3)

200

(1,4)

m=-2/3

y-4=-2/3(x-1)

300

(2,3)

(5,7)

y-3=4/3(x-2)

or

y-7=4/3(x-5)

400

(-1,4)

(3,-2)

y-4=-3/2(x+1)

or

y+2=-3/2(x-3)

500

Convert to Slope-Intercept Form

y-5=3(x+2)

y=3x+11

Challenge?

100

Write the equation of the line that has an undefined slope passing through (9, –4).

x=9

200

Write the equation of the line that has zero slope passing through the point (3, –5).

y=–5

300

Write the equation of the line that is parallel to y=2 and passes through the y-intercept of y=5x+3.

y=3

400

Write the equation of the line that is perpendicular to y+6=0 and passes through the x-intercept of 2x-7y=14.

x=7

500

Write the equation of the line that is perpendicular to y = 2/3 x + 5 and passes through the x-intercept of 3x + 4y = 18, in general form.

3x+2y-18=0