Linear Relations

Standard Form

100

Which one is standard form?

A. y=mx+b

B. y1+y1=m(x+x1)

C. Ax+By=C

D. Constant rate of change

C. Ax+By=C

200

What is y=-1/4x+4 written in standard form?

x+4=16

300

What is y-8=3(x+1) written in standard form?

-3x+y=11

400

What is y+5=7(x-8) written in standard form?

-7x+y=-61

500

What is y=6/5x+9 written in standard form?

6x+5y=45

Slope-Intercept Form

100

What is the slope of the line (-2,2) and (0,2)?

a. -1/2

b. -2

c. 0

d. infinite

C

200

Write the equation of a line through the points (3,-8) and (6,-4).

y=4/3x-12

300

Write the equation of a line through the points (-19,-7) and (-5,-9).

y=-2/5x-11

400

Write the equation of the line through (-8,-2) and (-4,6).

y=2x+14

500

Write the equation of the line using slope intercept form with the points (0,3) and (2,7).

y=2x+3

Solving for y=mx+b

100

What is the y-intercept of y=1+6x?

1

200

Convert 4x-y=1 into the form y=mx+b.

y=4x-1

300

Convert -6x+9y=-3 into the form y=mx+b.

y=2/3x +2

400

Convert 2x-3y=12 into the form y=mx+b.

y=-2/3x+4

500

Put this equation into the form y=mx+b:

-11x-7y=-56

y=-11/7x+8

Solving using point-slope

100

Solve (1,3) and (3,7) by using point slope form.

2x+1

200

Solve (-2,5) and (1,8) by using point slope form.

y=x+7

300

Solve (-1,-1) and (-2,-5) by using point slope form.

y=4x+3

400

Solve (-2,-2) and (2,8) by using point slope form.

y=5/2x +3

500

Solve (0,7) and (2,10) by using point slope form.

y=3/2+7

Constant rate of change

100

What is the y-intercept of y=1+6x?

1

200

Find the slope and y-intercept of 3x+4y=8.

slope=-3/4 y-intercept= 2

300

Find the slope and y-intercept of -3y+2x=6.

slope= 3/2 y-intercept=3

400

Find the slope and y-intercept of 7x-6y-14=0.

y= 14/12x-7/3

500

Find the slope and y-intercept of y+2=-5x.

slope= -5 y-intercept= -2