Solving Equations
Infinite, One, or No solution
Slope of a Line
Y-Intercept
Integers
100

−3x+2=23 

x= -7

100

How many solutions does this equation have?

6t = 5 + 6t

No Solution

100
What is slope?

Slope is the rate of change, rise over run of a line.

100
What is the y-intercept?
The y-intercept is the point where the line crosses the y-axis.
100

-6+7

1

200

−5(−3n+1)=−50 

n= -5

200

How many solutions does this equation have?

9 − 7z = –7z + 9

Infinite Solutions

200

Find the slope of the line 

y=1/2x+4

Slope= 1/2

200

What letter in this equation represents the y-intercept?

y=mx+b

b= y-intercept

200

-3+7

4

300

x + 3 = -11

x= -14

300

How many solutions does this equation have?

–t − 10 = 10 + 9t

One Solution

300

Find the slope of the line that passes through (7, 2) and (1, 1).

Slope= 1/6

300

What is the y-intercept of this line?

Y= 7/5x-8

-8 or (0,-8)

300

Evaluate 5+(-4) + (-7) +2.

-4

400

−2(6x−3)+4=−50

x= 5

400

How many solutions does this equation have?

–4 − 9q = –9q − 4

Infinite Solutions

400

What is the slope of the line through (2,-2)(9,3)?

Slope= 5/7

400

Find the y-intercept of the line. 

y=13x+11

Y-intercept (b)= (0,11) or 11

400

Evaluate (-8)x(-8).

+16

500

3(x−1)−2(x+3)=0

x=9

500

How many solutions does this equation have?

7 + 2u = 2u + 7

Infinite Equations

500

What is the slope of the line through (6,9) and (7,1)?

Slope= -8

500

Find the y-intercept of the line. 

y=15/2x–13/10

B= -13/10 or -1 3/10 or (0, -13/10)

500

Evaluate (-11)(-11) + 5.

115