Transcript TwMM 2.2 Exploring Slope.pptx

Math CC7/8 – Be Prepared
On Desk:
Learning Log:
1. Pencil
1.
2. Calculator
3. Math Journal
4. TwMM Learning Log
HW: p. 47, #6, 8, 57
Tasks for Today
• Warm Up – Writing equations from a graph
• Finish Lesson 2.1 – C?
• Lesson 2.2 – Exploring Slope
Warm Up
Write the equation
for each graph.
Finding Slope
• How can we find slope from a table?
– As the x value increases by one, what does the y value
increase or decrease by?
• How can we find slope from an equation?
– It is the coefficient (the number in front of x)
• How can we find slope from a graph?
𝒓𝒊𝒔𝒆
𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒚
– Find the
or the
𝒓𝒖𝒏
𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒙
– How can we find slope from two coordinate
points?
– Use the slope algorithm for two coordinate points
y2 – y1
– (x1,y1) (x2, y2)
x2 – x1
This slope is -3 which is
less than the other slopes.
Slope = -1
(x1,y1) (x2, y2) y2 – y1
x2 – x1
Many possible answers.
(5, 1)
(6, 0)
You could make a table and use
the slope to find many different
points of the same line.
Yes, they are correct, because a straight line does not
change direction or steepness. The ratio of rise over run
will be the same no matter what two points you choose.
Yes, he is correct!
Using substitution, when x = 1, y = m times 1 = m,
and when x = 0, y = m times 0 = 0
Horizontal lines have a slope = 0 (rise is always 0)
Vertical lines have no slope (dividing by a run
difference of 0 is impossible)