point-slope form of a line 2.21. domino effect #4
TRANSCRIPT
Point-Slope Form of a Line2.21
Domino Effect #4
http://www.mathalicious.com/lessons/domino-effect/teach
Finding the Linear Equation
The information we had about the pizzas did not tell us the price per topping for each pizza size or the base price for a pizza.
We were still able to find the equation of the line.
How?
From Pizza to Point-Slope Form of a Line
(16.95 – 13.97) = 1.49(4 – 2)
(y2 – y1) = m(x2 – x1)
(y – y1) = m(x – x1)
Point-Slope Form of a Line
Point-slope form
A linear equation written using the slope and one point from the line
(y – y1) = m(x – x1)
Steps
Determine the slope of the lineLabel the x and y values of one pointSubstitute these values in for m, x1, and
y1
Example
Write the equation for the line that has a slope of 5 and passes through the point (-1, 8).
Example
Write the equation for the line that passes through the points (-3, 0) and (1, -2).
Practice
Write the linear equation with the following set of characteristics.
1) Slope of -4; passes through (8, 5)
2) Slope of ½; passes through (6, -2)
3) Passes through (1, 4) and (7, 5)
4) Passes through (-1, 5) and (1, -3)
5) Passes through (-3, 0) and (-2, -5)
6) Passes through (-4, 3) and (2, 3)