Find Your Other Half

Answer Guide for Algebra / Geometry
SLOPE PROBLEMS

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1

Find the slope of the line // to the line with the equation 3x + 4y = 78

(-3/4)

W
Find the slope of the line passing through
(-15, 45) and (-19, 48)

(-3/4)
2


Find the equation of this line in slope intercept form.

(y = -1x + 3 or y = 3 - x)

F

Rewrite this equation in slope intercept form.
12 = 4y + 4x

(y = -1x + 3 or y = 3 - x)

3

The line perpendicular to the line
38y = 64 - 19x has a slope of what?

(2)

V

The line that passes through
(8, 64) and (-8, 32) has a slope of what?

(2)

4

Shane's hair grows 0.24 inches per month and it is 11.5 inches long now. Write an equation to describe this situation.

(i = 11.5 + 0.24m)

N

Write the equation -0.12x + 1/2y = 5.75 in slope intercept form.


(y = 11.5 + 0.24x)

5

Graph -6 + 3y = -x on the coordinate plane.

(The equation changes to y = -1/3x + 2 in slope intercept form. This is a downward sloping line that crosses the y axis at 2 and goes down one block for every three blocks it moves to the right.)

U

Graph 21y + 7x = 42 on the coordinate plane.


(The equation changes to y = -1/3x + 2 in slope intercept form. This is a downward sloping line that crosses the y axis at 2 and goes down one block for every three blocks it moves to the right.)

6

Write the slope of a line perpendicular to the line below.

(The slope of this line is -4/3 so any line perpendicular to it will have a slope of 3/4.)

L

Find the slope of the line passing through
(-37, -19) and (-33, -16).

 

 

(3/4)

7

Write an equation for a line that passes through (0, -1) and has a slope of -2/3.

 

(y = -2/3x - 1)

K

Write and equation for the line in the graph below.

(y = -2/3x - 1)

8

Write and equation for a line that crosses the y axis at the origin, and also passes through (-2, -6) and (-5, -15).

(y = 3x)

E

Andy can write six lines of good poetry in two hours. Write an Algebra equation to describe his ability.

(l = 3h)

9

Find the slope of a line perpendicular to the line described by this equation:
7x - 3y = 48

(The slope of this line is 7/3 so any line perpendicular to it will have a slope of -3/7.)

S

Find the slope of a line // to the line described by 18x + 42y = 31.

 

(-3/7)

10

Tanisha learned 875 Arabic words on a trip to Egypt last year. Now that she is back in America, she is forgetting them at a rate of 12 words per week. Write an algebraic equation describing this situation.

 

(w = 875 - 12w)

A

Jarred worked for 16 hours loading dead fish onto trucks. He made 12 dollars per hour, and when he got paid he added the money to the 683 dollars already in his bank account. If he stops working and starts spending $12 every week on Karate lessons, write an algebraic equation to describe his money situation.

(m = 875 - 12w)

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