2.22 Writing Linear Equations from a Set of Coordinates
Name:
1) Write a linear equation for each line.
a)
b)
c)
2) What about the equation for this line?
Point 1: (
m=
,
)
Point 2: (
,
)
b=
3) Back to the Dominoes problem.
The cost of a medium 4 topping pizza was listed as $16.95 and the rate of change was $1.49 per topping.
If x represents the number of toppings and y represents the total cost of the pizza, write a set of
coordinates for the pizza and fill in the slope.
(
,
) m=
Write an equation in
point-slope form for the
pizza. Simplify and use
your equation solving
skills to rewrite the
equation in slopeintercept form.
Use your final equation to determine the price of each number of toppings on a medium pizza.
3 toppings
1 topping
2 toppings
4) Write a linear equation in point-slope form for each set of criteria. Then use your Equation Solving
Skills to rewrite it in slope-intercept form.
a) slope of 3; passes through
the point (4, -1)
b) slope of –½; passes through
the point (-4, -6)
c) slope of ¾; passes through
the point (3, 5)
5) Calculate the slope of the line between the points given. Write a linear equation in point-slope form.
Then use your Equation Solving Skills to rewrite it in slope-intercept form.
a) (1, 4) and (2, 7)
b) (-2, 5) and (-1, 3)
c) (2, -3) and (4, 5)
e) (2, 1) and (6, 3)
f) (-12, 5) and (-6, 1)
m=
(y – _____) = ___ (x – _____)
d) (-1, 5) and (3, -3)
g) (3, 4) and (7, 6)
h) (-3, 6) and (2, 4)