18b. Slope Intercept

Question 1

What is the slope-intercept equation?

Answer 1

Question 2

What does each variable in the slope-intercept equation mean?

Answer 2

y = y coordinate
x = x coordinate
m = slope on the line
b = the y intercept of the line

Question 3

Solve:

Answer 3

Question 4

How would you solve for a y-intercept?

Answer 4

Solve for a coordinate with x being 0

Question 5

How would you solve for a x-intercept?

Answer 5

Solve for a coordinate with y being 0

Question 6

If the equation of a line is not in slope-intercept form, you must __________

Answer 6

If the equation of a line is not in slope-intercept form, you must CONVERT IT to a line in slope-intercept form

Question 7

What is the equation for the x-axis?

Answer 7

y = 0

Question 8

What is the equation for the y-axis?

Answer 8

x = 0

Question 9

What is the standard form of the equation of a line?

Answer 9

Ax + By = C

where: A, B, C are all constants

Question 10

What is the slope of a line in the equation: Ax + By = C

Answer 10

The slope of the line with equation Ax + By = C

is…. -A / B

Question 11

You can define a line if you know a point on that line in addition to either….

Answer 11

1. The slope of the line (or slope of a line that is parallel/ perpendicular)
2. A second point on the line (y intc, x intc, or any point)

Question 12

Parallel lines have the same _______ but a different _________

Answer 12

Parallel lines have the same SLOPE but a different Y-INTERCEPT

Question 13

Can parallel lines intersect?

Answer 13

NO.

Question 14

What if you multiply the slopes of two perpendicular lines?

Answer 14

The slopes of perpendicular lines are negative reciprocals, so multiplying will always equal -1

Question 15

What is the slope of the line that is perpendicular to the line with slope 10?

Answer 15

• 1/ 10

(you can check this by multiplying and seeing if it equals -1….
10 * - 1/ 10 = -1

Question 16

What is the equation used to determine the distance between two points?

Answer 16

Question 17

What is the distance formula between two points with the same y coordinates?

(x, y) and (z, y)?

Answer 17

Question 18

What is the distance formula between two points with the same y coordinates?

(x, y) and (x, z)?

Answer 18

Question 19

Solve:

Answer 19

Question 20

How can you calculate the length of a line segment using a triangle?

Answer 20

The hypotenuse of a right-angled triangle is the distance between the two points

Question 21

What is the equation used to find the midpoint of any line segment?

Answer 21

Question 22

How would you draw a “greater than” inequality (line)?

Answer 22

Question 23

If a line is greater than or less than, how would you draw it?

Answer 23

Draw a DOTTED line!

Question 24

How would you draw a “less than” inequality (line)?

Answer 24

Question 25

How would you draw a "greater than OR equal to" inequality (line)?

Answer 25

Question 26

How would you draw a "less than OR equal to" inequality (line)?

Answer 26

Question 27

If a line is (greater than or equal to) or (less than or equal to), how would you draw it?

Answer 27

A full black line (to show that solutions on the line are also included!