Quick Start Expectations 1.Fill in planner and HWRS HW: p. 46, #5, 14, 16, 18, #39-42 2.Get a...
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Transcript of Quick Start Expectations 1.Fill in planner and HWRS HW: p. 46, #5, 14, 16, 18, #39-42 2.Get a...
Quick Start Expectations1. Fill in planner and HWRS
HW: p. 46, #5, 14, 16, 18, #39-42
2. Get a signature on HWRS
3. On desk: calculator, journal, HWRS, pencil, pen
4. Warm Up: next slide… back of HWRS
What tool can we use to solve for the slope?The slope algorithm!
(x1,y1) (x2, y2) y2 – y1
x2 – x1
(x1,y1) (x2, y2)
9 – 56 – 4
= 4/2 = 2m =
What tool can we use to solve for the y-intercept?A table!X Y
4 53 3
2 11 -1
0 -3
What is the equation?y = 2x + -3
Write an equation for the line with points (4, 5) and (6, 9)
As the number in the group increases by 1, the admission cost increases by $15.
Slope = 15 y-intercept = 60
y = 2.5x
Decide what the independent and dependent variables are.Find the unit rate (m, or slope).Look if the starting value (b) was given.If not work backwards to find when x = 0.
Find the slope (m)• Finding out the y-value change as x increases by 1.• Use the slope algorithm • Change in y divided by the change in x
Find the y-intercept (b)• Work backwards from the given points to point (0, b)
using slope• Use substitution with the slope and a given point (x, y)
Find the slope (m)• Find 2 points the line passes through• Use the slope algorithm
Find the y-intercept (b)• Work backwards from the given points to point (0, b)
using slope• Use substitution with the slope and a given point (x, y)
Dana’s work is correct. In general, if you know the slope of a line and a point on the line you can substitute these three values in for y, m, and x in the equation y = mx + b and solve the equation for b.
No, Chris has not used the coordinates of the two points correctly to find the slope. She put the differences in x on top! It should be the change in y divided by the change in x, for a slope of 2.The equation should be y = 2x – 3.