Identifying Key Features of Linear Functions

​Key Features of Linear Functions

​How to Identify and solve for x-intercepts, y-intercepts, and slope

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

Always start at your y-intercept.

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Plot (0,-7) on the y axis​

​To Graph a Linear Function

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

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

​m= 1/2

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Connect your two points with a straight line.

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​Keep Going!

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Multiple Choice

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

• $$y=3x+\frac{2}{7}$$  

• $$y=\frac{2}{7}+3x$$  

• $$y=3+\frac{2}{7}x$$  

Reorder

Reorder the following lines from steepest to least steep

• y=5x

• y=4x+2

• y= $$\frac{3}{2}$$  x-4

1

2

3

• 1
• 2
• 3