Ch. 3 Second Quiz

Question 1

Slope

Answer 1

Change in y over change in x
(5,3) 11-3 8
(8,11) 8-5 3

Question 2

Directed Line Segment

Answer 2

Segment representing movement from pt. A to pt. B

Question 3

How to solve a directed line segment problem

Answer 3

1. Find the fraction of the distance from the first pt to the middle point.
2. Multiply x and y with the fraction by the distance from the first pt. to the second pt (positive if the slope is uphill, negative if the slope is downhill).
3. Add x of the first point to x, y of the first point to y

Question 4

Slopes of Parallel Lines Postulate

Answer 4

Two nonvertical lines are equal iff slopes are equal. Slopes of vertical lines are equal.

Question 5

How to solve a slope of parallel lines postulate

Answer 5

1. Find the slope from the given y=mx+b equation
2. Plug y, x, and the slope in from given into y+mx+b form
3. Solve for b
4. Create a new y=mx+b equation using new b and slope (m).

Question 6

MEP (put yo’ slope down, flip it, and reverse it)

Answer 6

In a coordinate plane, two non-vertical lines are perpendicular iff the product of their slopes is -1.

Question 7

How to solve an MEP equation

Answer 7

1. Find the perpendicular of the slope by finding the opposite reciprocal of it.
2. Plug y and x from the given and the new slope into the y=mx+b form
3. Solve for b
4. Create a new y=mx+b equation using new b and new slope (m).

Question 8

How to solve distance from pt. to line problems (i)

Answer 8

i) Find the equation of line
1. Find the perpendicular of the slope by finding the opposite reciprocal of it.
2. Plug y and x from the given and the new slope into the y=mx+b form
3. Solve for b
4. Create a new y=mx+b equation using new b and new slope (m).

Question 9

How to solve distance from pt. to line problems (ii)

Answer 9

ii) Find pt. of intersection
1. Use the transitive property to make the original y=mx+b equation and the new y=mx+b equation equal.
2. Solve the equation for x.
3. Plug x back into either equation to find y

Question 10

How to solve distance from pt. to line problems (iii)

Answer 10

iii) Use old (x,y) and new (x,y) in the distance formula.
Square root of x (1) - x(2) + y(1) - y (2)

Question 11

How to solve for k in a perpendicular slope problem

Answer 11

1. Write the line k is perpendicular to in slope form
2. Solve for slope
3. Find the opposite reciprocal of the slope
4. Write the x, and y values with k in them in slope format
5. Make them equal to the opposite reciprocal of the original slope.
6. Solve the equation by cross-multiplying