Key Features & Graphs of Linear Functions, A.3C

​Key Features & graphs of Linear Functions
TEKS A.3C (R)

I can Identify x-intercepts, y-intercepts, and slope and graph linear functions.

Multiple Choice

Which equation is in Slope Intercept Form

• m=x-b

• y=b+x

• y=mx+b

• y=bx+m

Fill in the Blank

Identify the y-intercept

$$y=\frac{1}{2}x-7$$  

Write your answer as a number or a coordinate point.

Fill in the Blank

Identify the slope

$$y=\frac{1}{2}x-7$$  

Write your answer as a decimal or a fraction. Do not include m=

Multiple Choice

Which of the following equations has a y-intercept of 3 and a slope of 2/7?

• 1/2
• $$y=\frac{2}{7}+3x$$  

• $$y=3+\frac{2}{7}x$$  

Multiple Choice

b stands for the _____________ in the equation, y = mx + b.

• y-intercept

• Slope

• x-intercept

Multiple Choice

"m" or "Slope" is the ___________ of the line

• rate of change (Slope)

• positive part

• negative part

Multiple Choice

Solve for y:
3x + y = 12

• y = -3x + 12

• x = y + 4

• x = y + 12

• y = 3x - 12

What is the y-intercept?

• The point at which the graph crosses the y-axis.

• The x - coordinate is 0.
  

Multiple Choice

Y or f(x) is the ________ part of the equation

• Output

• Input

Multiple Choice

The x-intercept crosses the x-axis and the y-intercept crosses the y-axis.

• True

• False

​Synonyms for X-Intercepts:

Multiple Select

The x-intercept of an equation is also called...

(select all the correct answers)

• y-intercept

• zero

• solution

• root

Match

Match the following

• The coordinate where the function crosses the x-axis. At this point, y=0.

• The coordinate where the function crosses the y-axis. At this point, x=0.

• Measure of how STEEP a line is, can be found using rise/run

• Slope-intercept form

• Standard Form

x-intercept

y-intercept

SLOPE

y=mx+b

Ax+By=C

• x-intercept

• y-intercept

• SLOPE

• y=mx+b

• Ax+By=C

​Slope of a Graph

Multiple Choice

Find the slope of the graph.

• 1/2

• -1/2

• 2/1

• -2/1

Multiple Choice

Find the slope of the graph

• -3/4

• 4/3

• 3/4

• -4/3

Always start at your y-intercept.

​

Plot (0,-7) on the y axis​

​To Graph a Linear Function

​

• Start at your y-intercept, and use your slope to find the next point on the line!​

​

• For this point, we will go UP 1 and to the RIGHT 2.​

​m= 1/2

​rise = 1
run = 2

Connect your two points with a straight line.

​

​

​Keep Going!

​

Multiple Choice

What is the equation of the line?

• y = 2x + 3

• y = 2x + 5

• y = -2x + 5

• y = 1/2x - 5

Multiple Choice

What equation below matches the graph above.

• y = x - 1

• y = x + 1

• y = 2x + 3

• y = -x - 2

Graphing

Graph y = 3x + 7.

Graphing

Graph y = -4x + 3

Graphing

Graph y = 2x - 5

Poll

Are you Clear or Cloudy on this lesson?

• I'm Clear. I could teach it to others.

• I'm Cloudy. I should re-do this lesson.