Unit 3 Review - Graphing and Writing Linear Equations

What is the slope of the graph below?

Answer explanation

Think about whether your slope is positive or negative first.

Tags

CCSS.8.EE.B.5

What is the zero of following graph?

Answer explanation

"zero" is another word for x-intercept.

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

What is the y-intercept of the following graph?

Answer explanation

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

Answer explanation

Tags

CCSS.8.EE.B.5

Answer explanation

Tags

CCSS.8.EE.B.5

What is the equation in slope-intercept form (y=mx+b) of the line that passes through the points (-3,11) and (4,-3)?

(do not type any spaces)

Answer explanation

1. Start by finding the slope (m) using the slope formula or make a table.

2. Use point-slope formula to write your equation.

Tags

CCSS.HSA.CED.A.2

Which of the following equations represents the graph below?

(select all that apply)

Answer explanation

There are many ways to write equations.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.06 m per day. Write the function that can be used to find the thickness of the ice shelf, f(x), after x days.

(do not put any spaces in your answer)

Answer explanation

Slope-Intercept Form

y=mx+b

m - slope - rate of change

b - y-intercept - starting value

Tags

CCSS.HSF-BF.A.1A

Write the function, f(x), that models the table below.

(do not put any spaces in your answer)

Answer explanation

Find the slope (m).

Then find the y-intercept (b).

The y-intercept is where x=0.

You may have to rewrite the table to incorporate the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The graph of linear function g(x) passes through the points (3,-3) and (-9,1). Select the correct x-intercept and y-intercept.

(Hint: graph these points and draw a line first)

• (0,-6)

• (-6,0)

• (0,-2)

• (-2,0)

• (3,0)

Answer explanation

Graph the two points provided.

Draw a line that connects the points.

Look to see where the line intersects the x- and y-axis. You may need to use the slope to help find them.

X-intercept: (x, 0)

Y-intercept: (0, y)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7