Linear Functions

Identifying Linear Functions

100

What is a function whose graph forms a straight line called?

linear function

200

What is the standard form of a linear equation?

Ax+By=C

300

Tell whether the function is linear  y=x+3

Yes

400

Tell whether the set of ordered pairs satisfies a linear function: (12,4), (11,3) (-12,2), (-11,1)

Yes

500

 (\) is what type of slope? 

Negative

Using Intercepts

100

What is the y-coordinate of the point where the graph intersects the y axis called?

What is the y-intercept

200

Find the x intercept: 2x- 4y=8

x=4

300

Find the y intercepts of -24+4y=3x

24

400

Find the y intercept of 3x-2y=12

-6

500

Evaluate F(3) = 6x -25

-7

Slope

100

What is the slope of a horizontal line?

Zero

200

What is the slope of a vertical line?

Undefined

300

What is the slope of y = -9/3x - 12

What is -3

400

Find the slope of -2x + y = 5

What is 2

500

Find the slope of the equation: 6x + 5y=30

What is -6

Slope intercept form

100

What is slope intercept form?

y=mx+b

200

Write the equation in slope intercept form: slope=0, y intercept =-5

y=-5

300

Write the equation in slope intercept form: slope=4 and the linear function crosses the y-axis at -3

y=4x-3

400

When graphing y= 4x-3, the slope will be which of the 4 types of linear functions? 

Positive 

500

Write the equation in slope intercept form and graph: 3x+2y=8

y=-3/2x+4 

Point Slope form &Slopes of lines

100

What is the equation for point slope form? 

What is (y - y₁) = m(x - x₁)

200

m is the _______  of the line.

Slope

300

_______ is an equation of a line written using one point on the line and the slope of the line. How do you know when you have perpendicular slopes?

Point-Slope Form

400

(x, y) represents the _________ of any point on the line.

 Coordinates

500

What lines have the same slope? 

Parallel