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Slope Intercept Form Point Slope Form

Total questions: 24

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

2.

Which of the following equations is written in slope-intercept form?

a)

y = 10x - 7

b)

y - 5 = 3(x - 1)

c)

5x - y = 12

d)

6x + 2y - 15 = 0

3.

Which equation best represents the relationship between x and y in the table shown?

a)

y = 5x + 5

b)

y = -5x + 5

c)

y = 15x + 5

d)

y = 10x + 5

4.

Which of the following equations does the graph represent?

a)

y = -2

b)

y = 2

c)

x = -2

d)

y = -2x

5.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

6.

What coordinate point can be extracted from the following equation?

y - 3 = 2(x + 4)

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

7.

Which answer choice correctly identifies the information contained in the following equation?

y + 1 = -3(x - 5)

a)

m = 3, (-5, -1)

b)

m = 3, (5, 1)

c)

m = -3, (5, -1)

d)

m = -3, (-1, 5)

8.

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

(4, -7); m = 2

a)

y + 7 = -2(x - 4)

b)

y - 4 = 2(x + 7)

c)

y + 7 = 2(x + 4)

d)

y + 7 = 2(x - 4)

9.

Which of the following equations represents the line that passes through the two given point?

(-2, -3), (4, 9)

a)

y - 4 = 2(x - 9)

b)

y + 3 = 2(x + 2)

c)

y - 9 = 2(x + 4)

d)

y - 3 = 2x + 2

10.

Which of the following equations does NOT match the given line?

a)
b)
c)
d)
11.

Select all of the equations that accurately represent the given line.

a)
b)
c)
d)
12.

Select all the equations that accurately represent the given line.

a)
b)
c)
d)
13.

Which of the following graphs represents the equation

y = -2x

a)
b)
c)
d)
14.

Which of the following equations in slope-intercept form represent the same line as the equation

y - 3 = 4(x + 2)

a)

y = 4x + 5

b)

y = 4x + 11

c)

y = 4x + 2

d)

y = 4x + 7

15.

Select all of the following directions that correspond to the given slope.

a)

3 units up, 7 units left

b)

3 units up, 7 units right

c)

3 units down, 7 units right

d)

3 units down, 7 units left

16.

Select all of the following directions that correspond to the given slope.

a)

9 units up, 0 units left

b)

9 units up, 1 unit right

c)

9 units down, 1 unit right

d)

9 units down, 0 units left

17.

Which slope-intercept equation represents the same line as the given point-slope equation?

a)
b)
c)
d)
18.

Which statement must be true of all vertical lines?

a)

If calculated, the slope would be 0

b)

The line has an x-intercept

c)

The line has at least one y-intercept

d)

If calculated, the slope would have a denominator of 0

19.

Which of the following is NOT true about slope.

a)

The slope of a line is different if you follow the line to the left or to the right

b)

If a line is decreasing the slope must be negative

c)

The slope of a line is positive if the line is increasing

d)

If a slope is 0 then the y-values of the relation never change

20.

Which answer choice correctly identifies the point contained in the given equation?

a)

(0, -11)

b)

(11, 1)

c)

(-11, 0)

d)

(0, 11)

21.

Select all of the following points that lie on the graph of the given equation?

y = 3x - 7

a)

(0, -7)

b)

(1, -4)

c)

(8, 15)

d)

(3, -7)

22.

Given that the point (3, -2) lies on the line

y = -2x + b,

What is the y-intercept?

a)

(4, 0)

b)

(0, 4)

c)

(0, -6)

d)

(0, -8)

23.

What information is needed to write an equation in the form

y = mx + b

a)

The slope and the y-intercept

b)

The slope and the x-intercept

c)

The slope and any point on the line

d)

IT CANNOT BE DONE!!!!

24.

SELECT ALL THAT APPLY:

Given the point (-4, 7) and a slope of -3, which of the following points would be reached by following the slope?

a)

(-3, 10)

b)

(-3, 4)

c)

(-5, 4)

d)

(-5, 10)