Slope Intercept Form
Write an equation of the line that has a slope of 1/5 and a y - intercept of -3
y = 1/5x - 3
What is the slope of the equation: y - 8 = -(x - 5)
m = -1
What is the opposite reciprocal of -1/3
3
Slope is the saame thing as...
Rate of change
solve: -|4 - 13|
-9
If the y - intercept is not given, what equation do you use to solve for it?
Slope intercept form equation
What is the point in the equation: y - 6 = 2.4(x + 3.3)
(-3.3, 6)
Parallel lines have __ __ slope
Peperndicular lines have __ __ slope
the same
opposite reciprocal
rise =
run =
rise = change in y
run = change in x
What form is Ax + By = C
Standard form
Write an equation in slope intercept form of the line that passes through the point (2, -9) and has a slope of 5
y = 5x - 19
Write a point - slope equation that passes through the point (5, -3) and has a slope of 7
y + 3 = 7(x - 5)
What is the first step in writing equations of parallel lines in point - slope forms?
Identify the slope
Find the slope of the points (3, -4) and (6, -2)
m = 2/3
What does f(x) mean
y
Write a linear function f with the values f(0) = 8 and f(-4) = 12
y = -1x + 8
There is a line that includes the point (-2, 16) and has a slope of 1/2. What is its equation in point - slope form?
y - 16 = 1/2(x + 2)
Determine which of these lines, if any, are parallel or perpendicular:
a: -12y + 36x = 18
b: y = 9x - 24
c: 4x + 12y = -6
a and c are perpendicular
When the slope is 0 what are the characteristics of the line
Straight and horizontal
Determine if this relation is a function:
(0,2) (7,2) (3,4) (11, 0)
It is a function
Amanda is charged $95 to rent a dress for a month. When the month is over, she will be charged $10.50 for every extra day she keeps it. Write a slope intercept equation that models this situation.
y = 10.50x + 95
Lucy bought a small birthday cake for $36. She also had an additional amount of $15 that she had to spend on decoration. All of her friends did the same thing. Write an equation in point - slope form to represent this problem.
y - 15 = 36(x - 0)
When on a coordinate plane, Silly street matches the equation y = -1/9x - 12. Goofy street is perpendicular to Silly street and goes through the point (9, -15). Write the equation for Goofy street in slope intercept form.
y = 9x - 96
Lilly hired somone to fix her tv. She will be charged $55 an hour. There is an additional cost of $20 for the long travel. What is the slope?
m = 55
The linear function d = 110 - 15t represents the amount of money that a movie theater made from selling t tickets. Is the domain discrete or continous?
discrete