Standard Form and Intercepts

Standard Form

Using Standard form and finding x and y intercepts

Multiple Choice

The name of the equation

y=mx+b

is....

• Point Slope Form

• Slope Intercept Form

• Slope

• Slope Point Form

Multiple Choice

The name of the equation

y-y1 = m(x-x1) is...

• Slope Intercept Form

• Point Slope Form

• Standard Form

• Slope

Multiple Choice

The name of the equation

Ax + By = C 

is...

• Slope Intercept Form

• Point Slope Form

• Slope

• Standard Form

Poll

How confident are you that you can find the slope when given the equation in point slope form?

• I can do it every time!

• I can do it most of the time

• I can do it sometimes

• I only get it right when I guess

Multiple Choice

The slope in the equation 

y-3 = 2.4(x+2)

is...

• -3

• 2/-3

• -3/2

• 2.4

Poll

How confident are you that you can find the slope when given the equation in slope intercept form?

• I can do it every time!

• I can do it most of the time

• I can do it sometimes

• I only get it right when I guess

Multiple Choice

The slope in the equation 

y= -3x+7

is...

• -3

• 7

• 7/-3

• -3/7

Open Ended

Austin will buy pizza and soda for a class party. He has 50 dollars to spend. Each pizza is 5 dollars and each soda is 2.

What do you notice? What does this make you think about?

Open Ended

Austin will buy pizza and soda for a class party. He has 50 dollars to spend. Each pizza is 5 dollars and each soda is 2.

Write an equation to represent the situation!

​What should the equation be?

​y=mx+b doesn't make sense - we don't have a y-intercept or a slope

​

​y-y1 = m(x-x1) doesn't make sense - we don't have a slope or a point

​

​Ax+By= C works since we know how fast both variables grow and the total cost!

​

​

​

​Ax + By = C

​

Austin will buy pizza and soda for a class party. He has 50 dollars to spend. Each pizza is 5 dollars and each soda is 2.

​

​Total: 50 dollars = C

​Let x = number of pizzas bought and y = number of soda bought

​

Pizza is 5 dollars so A =5

​Soda is 2 so B = 2

​

​Equation: 2y+5y=50

Open Ended

5x+2y=50

How many pizzas can Austin buy if he gets 6 sodas?

​Think Pair Share

​1. How would the equation change if Austin decided he didn't want to buy soda, but instead bought gallons of water for $1 each?

​

​

​Note: he still has 50 dollars to start and pizza is still $5.

​

Open Ended

How many pizzas and gallons of water should Austin buy for our class?

Why?

Standard Form Equations: x & y intercepts

What is an intercept?

• x-intercepts are where the line crosses the x-axis

• y-intercepts are where the line crosses the y-axis

Multiple Choice

^{What is the x- intercept of the line?}

• (1, 0)

• (2, 0)

• ( -1, 0)

• (-2, 0)

Multiple Choice

^{What is the y- intercept of the line?}

• (-1, -1)

• (2, 0)
• ( -1, 0)
• (-2, 0)

Multiple Choice

What is the y-intercept?

• (0,7)
• (0, 0)
• (0,1)
• (0, 2)

Multiple Choice

Give the y-interecept
3x + y = 5

• (-3, 0)
• (0,5)
• (5, 0)
• (0, -3)

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

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

Multiple Choice

Name the x- and y-intercepts for the equation:
2x + y = 6

• (0, 3) and (6, 0)

• (0, -3) and (-6, 0)

• (3, 0) and (0, 6)

• (-3, 0) and (0, -6)