4.2 Warm Up

4.2 Warm Up

Point-Slope Form

1. Label The point (x1, y1) and m = slope.

2. Plug in (x1, y1) and m

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

• y + 1 = -3(x - 2)

• y + 1 = -3(x + 2)

• y - 1 = 3(x - 1)

• y + 2 = -3(x + 1)

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, -7); m = -1/4

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Find a slope from two points

• Subtract the y values on the top(numerator)

• Subtract the x values on the bottom(denominator)

• Always simplify the fraction

Multiple Choice

Use the formula to find the slope between the two points.

(-1, -2) and (8, -3)

•   $\frac{9}{1}$  
  

•  $-\frac{9}{1}$  

•  $\frac{1}{9}$ 
  

•  $-\frac{1}{9}$  

Multiple Choice

Use the formula to find the slope between the two points.

(5, 10) and (8, 12)

• $\frac{2}{3}$

• $-\frac{2}{3}$

• $\frac{3}{2}$

• $-\frac{3}{2}$

Domain and Range

1. List the (x, y) coordinate of each point

2. Domain is the x values

3. Range is the y values

Multiple Choice

What is the range of the following graph?

• {-5, -1, 0 , 1, 5}

• {-4, -2, 0, 3, 6}

• {-4, 0, 1, 6}

• {0, 6}

Multiple Choice

What is the domain of each point?

• {1, 2, 3, 4, 5}

• {-1, 1, 2, 3}

• {1, 2, 3, 5}

• {1, 5}

Is the relation a Function? Vertical Line Test

1. Draw a vertical line anywhere on the graph.

2. If it crosses twice it is NOT a function.

Multiple Choice

Is this graph a function or not a function?

• Function

• Not a Function

Multiple Choice

Is this graph a function or not a function?

• Function

• Not a Function

Multiple Choice

Is the relation a function?

• Function

• Not a Function

Multiple Choice

Is relation shown a function?

• YES

• NO

Find x and y Intercepts

• Plug in y = 0 and solve for x-intercept. Then plot the point on the x-axis

• Plug in x = 0 and solve for y-intercept. Then plot on the y-axis

• Draw a line connecting the two points.

Multiple Choice

Give the x-intercept

3x + 8y = 24

• (8, 0)

• (0, 8)

• (3, 0)

• (0, 3)

Multiple Choice

True or false:

The x-intercept of a function ALWAYS occurs where y is equal to zero.

• True

• False

Multiple Choice

What are the x- and y -intercepts on this graph?

• (0,5), (0,5)

• (5,0), (5,0)

• (5,0), (0,5)

• (0,0), (5,0)

Multiple Choice

What is the x and y intercept for the following equation ?

4x - 10y = 20

• x - int = 4

  y-int = -10

• x-int = 5

  y-int = 2

• x - int = 5

  y int = -2

• x -int = 4

  y -int = -10