Graphing Linear Equations
Writing Equations from Points
Writing Equation from a grah
Word Problems
Big Ideas
Evaluating from graph, table, or equation
100
Graph y = 2x + 1
100
Write an equation with a slope of 3 and y-intercept of (0,2)
y = 3x + 2
100
Write an equation from the graph below
y = 2/3x+4
100
Carlos is saving money in his bank account. He starts out with $325. And adds $15 each week. When will he have $430 in his account?
Choose the appropriate equation to solve this problem.
A) y = 15x + 430
B) y = 15x + 325
C)y = -15x +325
D)y = 15x + 430
B) y = 15x + 325
100
What do m and b mean in y = mx + b
in y= mx +b
m is the slope and b is the y-intercept
100
When x = ____, y = 3
200
Graph y = 2/3x - 1
200
Write an equation with y-intercept of (0,3) and point (1, 8)
y = 5x + 3
200
Write an eqation for the graph below
y = 2x + 1
200
A cup of coffee is currently 175 and cools at a rate of 8 degrees per minute. What will the temperature be after 5 minutes?
CHOOSE THE APPROPRIATE EQUATION THAT WILL SOLVE THE PROBLEM.
A) y = 5x + 175
B) y = -8x + 175
C) y = 8x +175
D) y = -5x + 175
B) y = -8x + 175
200
How do you find slope in a table, graph, or points.
In a table look at the change in each column and then divide the y by the x
In a graph, find two points and look at the rise over run
In a set of points, use the slope formula
200
when x = -2, y = ____
when x = -2, y =1
300
graph
y = -1/2x - 3
300
Write an equation with points (0,4) and (2, 5)
y=1/2x+4
300
Write an equation for the graph below
300
WRITE AN EQUATION THAT WILL HELP SOLVE THE PROBLEM.
A pot of water has a current temperature of 80 degree and is warming at a rate of 13.2 degrees per minute. When will the temperature be 180 degrees?
y = 13.2x + 80
300
How do know if a point or a row in a table is the y-intercept
the x-value is 0
300
When x = _____, y = -3
When x = -4, y = -3
400
Graph 3x + y = 4
400
Write an equation passing through points (0,-4) and (2, -8)
y = -2x - 4
400
Write an equation for the graph below
y = 2x + 8
400
WRITE AN EQUATION THAT WILL HELP SOLVE THIS PROBLEM.
Pedro is saving money in his bank account. He starts out with $423. And withdraws $15 each week. After 30 weeks how much money will he have in his account?
y = -15x + 423
400
Name 3 ways that an equation connects to a graph.
You can find the y-intercept on the graph by looking at where it crosses the y-axis
You can find the slope by doing rise over run.
You can find points on the graph by substituting in the x-value
400
when x = 3, y = ___
y = 2x + 1
when x = 3, y =7
500
-4x + 2y = -6
500
Write an equation passing through the points:
(-4,1) and (-1, -8)
y=-3x-11
500
Write an equation for the graph below
y -intercept should be between 60 and 80
slope should be between -.5 and -4
500
WRITE AN EQUATION THAT WILL HELP SOLVE THIS PROBLEM.
Lina is paid $945 every two weeks and she deposits this in her bank account, which currently has $1420 in it. After how many weeks will she have $5000 in her bank account?
y = 472.5x +1420
500
Name 3 ways that an equation connects to a table
1. You can find the slope by looking at the changes in x and y values
2. You can get values in the table by substituting the x or y value into the equation
3. You can find the y-intercept by looking for the row where x = 0
500
When x = ____ y = -5
y = -3x + 1
When x = 2 y = -5