Linear Patterns
Create a real-life example of a linear growth pattern.
ex) The value of a house is $1.2 million and increases $20,000 per year.
Write an equation in slope-intercept form that has a negative slope and a y-intercept of (0,1)
Then, graph it.
y = - ___ + 1
What is the slope-intercept equation?
y = mx + b
What is the slope of the following line:
y + 3 = 2(x - 1)
m = 2
PESTO
Write an equation to model the following situation: I weigh 115 pounds and want to lose 3 pounds a month.
y = -3x + 115
What the two ways you can tell if the graph of a line is positive or negative?
1) look at it from left to right
2) the sign of the slope
Write the following line in slope-intercept form: y + 8 = 4(x - 4)
y = 4x - 24
What are the point and the slope of the following line?
y - 1 = -1/4(x + 5)
m = -1/4, point: (-5, 1)
Write the equations of two lines that are parallel.
Prove they are parallel by graphing them.
Same slope.
A pet shelter starts the day with 8 dogs. Each hour, 6 more dogs are brought in. At what hour will there be 38 dogs?
In 5 hours, there will be 38 dogs.
Write the following equation in slope-intercept form.
-5x - 2y = 10
y = -5/2x -5
Write an equation that has a slope of -4 and goes through (1, -6) in point-slope form.
y + 6 = -4(x - 1)
If I graph two vertical lines, they will they be parallel, perpendicular, or neither?
Explain and show a graph.
Parallel. They will never touch.
My zero figure has -5 hearts. If I continue to add 3 hearts to each figure, when will I have 40 hearts?
At Figure 15 there will be 40 hearts.
Graph -3x + 2y = 1
See graph.
rite the following in slope-intercept form.
Then, write the y-intercept as a point.
x - y + 4 = 0
y = x + 4, y-int: (0, 4)
Write the equation of a line that passes through points (3, 9) and (-3, -5) in point-slope form.
y - 9 =7/3(x - 3) or y + 5 =7/3(x + 3)
Without using a calculator, simplify the following expression. You must show work for points.
(10 + 59 - 32) / (24 - 4)
3