Point slope form, standard form, and solving systems by elimination and substitution.

Point slope form

100

Write an equation in point-slope form of the line that passes through the given point and has the given slope. 

(2, 7); m = -4

y – 7 = -4(x – 2)

200

Write an equation in point-slope form of the line that passes through the given point and has the given slope.

(7, -6); m = 1/2

y + 6 = 1/2(x – 7)

300

Write an equation in point-slope form of the line that passes through the two points given. Use the first point to write the equation. 

(4,7) and (5, 1)

y – 1 = -6(x – 5)

Standard form

100

Write in standard form:

y = −x + 5

x + y = 5

200

Write in standard form:

y + 5 = −10(x − 1)

10x + y = 5

300

Write in standard form:

y − 5 = 8/3(x − 3)

8x − 3y = 9

Solving by elimination

100

Solve the system by elimination:

−4x − 2y = −12 

4x + 8y = −24

(6, −6)

200

Solve the system by elimination:

5x + y = 9 

10x − 7y = −18

(1, 4)

300

Solve the system by elimination:

−x − 7y = 14 

−4x − 14y = 28

(0, −2)

Solve by substitution

100

Solve by substitution:

4x − 3y = 18

y = −2  

(3, −2)

200

Solve by substitution:

2x − 3y = −1 

y = x − 1

(4,3)

300

Solve by substitution:

−3x − 3y = 3 

y = −5x − 17

(−4, 3)