Solving For Slope
What is the equation to solve for slope?
m=(y2-y1)/(x2-x1)
What is the equation for point slope form?
y-y1=m(x-x1)
Write the equation of slope-intercept form.
y=mx+b
What is the equation for Standard form?
Ax+By=C
What is the slope of a line that is parallel to y=3x+4?
Slope is 3.
If both axis are increasing, what type of correlation is it?
Positive correlation
What is the first step when writing inverse functions?
Exchange f(x) with y
What is the slope in the equation:
y-6=-(x+5)
m=-1
Write the equation for the line in point-slope for that passes through (3,4) and has a slope of 3.
y-3=3(x-4)
Write this equation in slope-int form:
y-3x=4
y=3x+4
Write this equation in standard form
y=-2x+3
2x+y=3
What is the slope of the line that is perpendicular to
y=3x+4
m=-1/3
If the x axis is increase and the y axis is decreasing, what kind of correlation does the data show?
Negative correlation
What is the inverse relation of the set:
{(3,5),(-2,6),(4,-7)}
{(5,3),(6,-2),(-7,4)}
What is the slope between these two points?
(-4,6) and (-2,22)
m=7
Write the equation for the line in point-slope for that passes through (-7,5) and has a slope of -2.
y-5=-2(x+7)
Write this equation in slope-int form:
2y+5x=10
y=-5/2x+5
Write this equation in standard form:
y=3x-5
3x-y=5
What is the slope of the line that is perpendicular to
y=-1/2x-9
m=2
There is a positive correlation between how much rain has fallen and how high the level of a lake is. Does this relationship show correlation or causation?
Causation. The rain fall causes the level of the lake to rise.
How do you say?
f^-1(x)
"f inverse of x" or "inverse of f of x"
What is the slope between these two points?
(3,3) and (6,9)
m=2
Write the equation for the line in point-slope for that passes through the points (3,3) and (6,9).
y-3=2(x-3)
y-9=2(x-6)
Write the equation in slope-int form of the line that passes through the point (6,5) and has a slope of 1.
y=x-1
Write this equation in standard form:
y-3=1/2(x+8)
x-2y=-14
Determine if these two lines are parallel, perpendicular or neither.
y=-3x+9
3x+y=3
Parallel because they both have a slope of -3
There is a negative correlation between how much food is eaten at thanksgiving and how many presents are given on your birthday. Does this relation show correlation or causation?
correlation
Write the inverse function of:
f(x)=3x+9
f^-1(x)=x/3-3
What is the slope between these two points?
(9,-9) and (6,-7)
m=-2/3
Write the equation for the line in point-slope for that passes through (-4,5) and (-2,4).
y-5=-1/2(x+4)
y+2=-1/2(x-4)
Write the equation in slope-int form of the line that passes through the points (-5,3) and (-4,5).
y=-2x-7
Double points!!!
Write the equation in standard form for the line that passes through (4,-6) and (1,-5)
x+3y=-14
Determine if these two lines are parallel, perpendicular or neither.
3x+3y=3
2y=2x+6
The lines are perpendicular because they have a slope of 1 and -1
There is a positive correlation between the temperature outside and the amount of ice cream sold by ice cream trucks. Does this relation show causation or correlation?
Causation, hotter temperatures can cause people to eat more ice cream.
Find the equation in slope-intercept form of the inverse of
f(x)=(3x-6)/8
f^-1(x)=8/3x+2
f^-1(x)=(8x+6)/3