ILEARN CHEKPOINT 2: Key Words

ILEARN CHECKPOINT 2

​KEY IDEAS: SLOPE, Y-INTERCEPT, SLOPE INTERCEPT FORM, ROC, IV

Match

Match the following words to their definitions/meainings.

• slope

• y-intercept

• rate of change (ROC)

• initial value (IV)

• slope intercept form

the steepness of a line, rise over run

the point where the line crosses the y-axis

the value y when x is zero

• the steepness of a line, rise over run

• the point where the line crosses the y-axis

• $$\frac{change\ in\ y}{change\ in\ x}$$

• the value y when x is zero

• $$y=mx+b$$

• Pick a plotted point and count how many squares it goes up or down (rise) and then how many it goes over (run) until it hits the next point.

• RISE

  • UP = POSITIVE

  • DOWN = NEGATIVE

• RUN

  • RIGHT = POSITIVE

  • LEFT = NEGATIVE

​

FIND SLOPE BY USING RISE OVER RUN

When a slope is in a completely straight horizontal line, then the slope is considered zero.

ZERO SLOPE

When a slope is in a completely straight vertical line, then the slope is considered undefined.

​​UNDEFINED SLOPE

​Sometimes slopes will be undefined or have a slope of zero.

Multiple Choice

What is the slope of the line?

• -2/3

• 3/2

• 2/3

• -3/2

Multiple Choice

What is the slope of the line?

• 2/3

• -2/3

• 3/2

• -3/2

Multiple Choice

What is the slope of the line?

• Zero

• Undefined

• -1

• 1

FIND SLOPE BY USING A FORMULA

Multiple Choice

True or False: To find the slope between the points (3, 4) and (5, 2) you would do the following. $$\frac{y_2-y_1}{x_2-x_1}$$

$$\frac{2-4}{5-3}$$  

• True

• False

Multiple Choice

What is the slope of (-5,-4) and (5,1)? $$\frac{y_2-y_1}{x_2-x_1}$$

• $$\frac{1}{2}$$

• - $$\frac{1}{2}$$

• 2

• -2

FIND SLOPE FROM A TABLE USING ROC

Multiple Choice

What is the slope (ROC)?

• 1/2
• 2
• 7
• 3

Multiple Choice

What is the slope (ROC) shown on the table? CAREFUL WITH THE SIGNS!

• m = -4

• m = $$\frac{2}{3}$$

• m = $$\frac{3}{2}$$

• m = $$-\frac{2}{3}$$

• Where the line crosses the y-axis (up and down line in the middle)

• The coordinate form of a y-intercept will ALWAYS be (0, b)

FIND Y-INT FROM A GRAPH

Multiple Choice

What is the y-intercept of the line?

• b = 2

• b = 4

• b = -2

• b = -4

Multiple Choice

What is the coordinate of the y-intercept?

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)

• To find the y-intercept in a table, find the initial value.

  • The y-value when x=0.

• If a table does not have an x-value of 0, you have to work backwards to find it.

FIND Y-INT (IV) FROM A TABLE

Multiple Choice

What is the y-intercept in this table?

• $$3$$

• $$4$$

• $$0$$

• $$undefined$$

Multiple Choice

Determine the y-intercept of the given function. (only write the number answer)

• 30
• 40

• 0

• 20

• SLOPE (ROC)

  • Changes

  • Words like "each," "every," or "per"

• Y-INTERCEPT (IV)

  • The y-intercept in a word problem is the starting point or beginning.

  • One time fee.

FIND SLOPE AND Y-INT FROM A WORD PROBLEM

Multiple Select

How do I know what part of the word problem is the slope? [Pick 2]

• The initial value that the scenario in the problem starts with

• The value in the word problem that is repeated

• The value in the word problem that occurs only once at the start

• The value in the word problem that has per or each

Multiple Select

How do I know what part of the word problem is the y-intercept? [Pick 2]

• The initial value that the scenario in the problem starts with

• The value in the word problem that is repeated

• The value in the word problem that occurs only once at the start

• The value in the word problem that has per or each

Multiple Choice

Lonnie plans to join the gym.  He must pay a $35 membership fee.  He will then pay $5 each month.  What is the slope?

• 7
• 35
• 5
• 1/7

Multiple Choice

Jimmy is filling a pool with water.  The pool has 78 gallons already inside.  The hose is filling it at a rate of 3 gallons per minute.  What is the y-intercept for this problem?

• 78/3
• 78
• 3
• 3/78

Match

Match the following words to their definitions/meainings.

• slope

• y-intercept

• rate of change (ROC)

• initial value (IV)

• slope intercept form

the steepness of a line, rise over run

the point where the line crosses the y-axis

the value y when x is zero

• the steepness of a line, rise over run

• the point where the line crosses the y-axis

• $$\frac{change\ in\ y}{change\ in\ x}$$

• the value y when x is zero

• $$y=mx+b$$