Slope

Question 1

What is the equation for slope?

Answer 1

y2 - y1 / x2 - x1

rise/ run

Question 2

What is the equation of a line?

Answer 2

y = mx + b

m = slope 
b = y intercept

and the x and the y are the coordinates of a point

Question 3

What is the slop of a horizontal line?

Answer 3

slope of a horizontal line is zero

Question 4

what is the slope of a line from left to right that is going up?

Answer 4

positive slope

Question 5

what is the slope of a line from left to right that is going down?

Answer 5

slope would be negative

Question 6

if a line is vertical what is the slope ?

Answer 6

undefined

Question 7

What is true about the slope of parallel lines?

Answer 7

All parallel lines have the exact same slope

Question 8

What is true about the slope of perpendicular lines?

Answer 8

perpendicular lines have a slope that is the opposite reciprocal of each other

ex.
So, if one slope is 3/2 and the line is perpendicular, then the other slope is -2/3

Question 9

The equation of a line is y = 10/11x + 2

What are the legs of the triangle?

Answer 9

north south leg = 2

east west leg = 2.2

You know the y intercept is 2
You also know that the west most point has to be (-?, 0) so since you are looking for the ? and you know the y-value which is 0, you can plug zero into the equation of a line to get 0 = 10/11x + 2 then you can solve and you get x = 2.2

so you are comparing 2.2 with 2 so the east west side of the triangle is greater

Question 10

what is the x-intercept of the line y = 2x + 3

Answer 10

(-3/2, 0)

Question 11

What is important to remember about perpendicular lines and their slopes??

Answer 11

Perpendicular lines have slopes that are negative reciprocals of each other