Slopes and Intercepts

The y-intercept is the...

• Origin of the graph.

• Point where the graph intersects the y-axis.

• Point where the graph intersects the x-axis.

• None of the Above.

Answer explanation

The y-intercept is the point where the graph intersects (or crosses) the y-axis (the vertical line on the graph).

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The formula for Slope can be represented by...

• m=Run/Rise

• m=Rise+Run

• m=Rise/Run

• m=Run-Rise

Answer explanation

The formula for slope is m=Rise/Run where on a graph, the top number means to count up however many times (Rise) and the bottom number means to count right however many times (Run). Note: The direction may change depending on the signs (positive or negative) so BECAREFUL!

Which correctly represents the Slope-Intercept Formula?

• m=(y2-y1)/(x2-x1)

• y=mb+x

• y=mx+b

• m=yx+b

Answer explanation

This formula will always start with y=, after will follow the slope (m) times the independent variable (x) plus your y-intercept (b).

Tags

CCSS.HSS.ID.C.7

What does the "m" represent in the Slope Intercept Formula? y=mx+b

• Slope

• Y-intercept

• Independent Variable

• Total

Answer explanation

The "m" represents your slope times your independent variable (x). This helps form your slope on your graph.

Tags

CCSS.HSS.ID.C.7

True of False? In the equation y=0.25x+32, the number that represents the slope is 32.

• True

• False

Answer explanation

Using the Slope-Intercept Formula y=mx+b, 32 would represent the b which is known as the y-intercept, not the slope. The slope in this equation would be 0.25.

Tags

CCSS.HSS.ID.C.7

Which answer is equivalent to m=Rise/Run?

• m=(y1-y2)/(x1-x2)

• m=(y2-y1)(x2-x1)

• y=mx+b

• m=(y2-y1)/(x2-x1)

Answer explanation

Remember that the y is always on top because of RISE and x on the bottom because of RUN. Now the second coordinate (y2 or x2) always comes first followed by subtracting the first coordinate (y1 or x1).

Tags

CCSS.HSS.ID.C.7

Which equation best represents the given graph?

• y=(2/3)x+4

• y=(1/2)x+6

• y=(1/2)x-6

• y=(2/3)x-4

Answer explanation

Use the Slope-Intercept Form as your guide: y=mx+b

The y-intercept is 4 so that is your b. To find your slope (m), remember to use Rise/Run. When you count starting from the y-intercept, you'll find that you climbed up 2 units and ran 3 units to the right, hence (2/3).

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

Which graph represents a decreasing slope?

• 
• 
• 
• 

Answer explanation

A decreasing slope will generally look like a downward staircase. In an equation, the slope would be negative.

The last option is called a parabola and even though we have not yet covered this type of graph, it is still increasing.

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

Which function best represents the table?

• f(x)=6x

• f(x)=x-3

• f(x)=3-x

• f(x)=2x-3

Answer explanation

This question was presented in the Kid2Kid video we viewed in class. If you need to review this question, revisit that video!

Remember: f(x) is the same as y.

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2

True or False? X is known as the Independent Variable and Y is known as the Dependent Variable.

• True

• False

Answer explanation

True! X is the Independent Variable because it's the one that can change frequently by itself. For y, it is the Dependent Variable because it depends on what the value of x is.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2