Linear Equations Test Review

Finding Slope

100

Find the slope using these two points:

(6, -5), (-4, 6)

-11 / 10

200

Find the slope given two points: (-14, 9), (-16, -10)

19 / 2

300

Find the slope given two points:
(7, 0), (-15, 17)

-17 / 22

400

Find the slope of the line given two points: (-15, 4), (0, 1)

-1/5

500

Find the slope of the line given two points:

(-6, -4), (-3, -4)

0

Writing Linear Equations

100

Write the equation for this line in slope-intercept form:

Slope: 3, y-intercept 6

Y=3x+6

200

Write the equation for this line in slope-intercept form:

Slope: (1/4)
Y-Intercept: -5

y=1/4x-5

300

Write a linear equation given these two points and a y-intercept:

(-9, -20), (-5, 8)

y-intercept: 5

Y=7x+5

400

Write a linear equation given two points and a y-intercept:

(13, -6), (-9, -20)

y-intercept: -6

y=7/11x - 6

500

Write the equation for this line in slope-intercept form:
(-4, 19), (4, -11)

y-intercept: -1/2

Y=-15/4X - 1/2

Random Linear Questions

100

When you look at a graph and the line on it is pointing down to the right, it has a _______ slope?

negative

200

When graphing a linear equation, you plot the points for the line by going up 3 and right 4, this line has a ______ slope

positive

300

If I have a slope of -6/7, how am I moving on the graph

down 6, right 7
OR up 6 and left 7

400

Show me what an undefined slope looks like with your arms. 

First two groups to get it right get the points

First two groups to get it right get the points

500

Describe what the three solutions to systems of equations are and what they look like on a graph.

No Solution: Parallel Lines, same slope, different y-intercept

Infinitely Many: Same slope, same y-intercept, same line

One solution: Different Slopes, cross at exactly on point

Vocabulary

100

Change in y over the change in x is called ________

slope

200

An equation written y=mx+b is in _____________

slope intercept form

300

In y=mx+b, b is the _______

y-intercept

400

In y=mx+b, m is the ______

slope

500

What is the formula to find slope between two points?

m=(y2-y1)/(x2-x1)

Solving Systems of Equations

100

Solve the system of equations by graphing: 

y = x + 5

y = (-1 / 2) x + 2

(-2, 3)

200

Solve the system of equations by graphing: 

y = (-1 / 2)x + 3

y = (3 / 8) x - 4

(8, -1)

300

How many solutions does this system have? And Why?

y=2x+4

y=1/2x-2

1 solution

400

How many solutions does this system have? And Why?

y=-x+5

y=4/4x+25/5

Infinitely Many Solutions

500

How many solutions does this system have? And Why?

y=3/4x-2

y=0.75x+2

No solution