Forms of linear equations
What is the formula for point-slope form?
y-y1=m(x-x1)
What is the formula for Standard form?
Ax+By=C
True or False? Parallel lines have the same slopes and different y-intercepts.
True
What is a scatter plot used for...
to determine trends or correlation?
or
to show a relationship between two sets of data?
both
What is the formula for slope?
y=mx+b
label the y coordinate, slope, and the x coordinate in the formula
y1 is the y coordinate
m is slope
x1 is the x coordinate
What are equations that have the same solutions?
Equivalent Equations
Perpendicular lines have opposite, ______ slopes.
reciprocal
A positive correlation goes ___?
up
Plug in these numbers to the formula for slope-intercept form
m=-1/3
b=5
y=-1/3x+5
Solve the equation when the slope is 3 and the point is (5,-2)
y+2 =3(x-5)
What is an equation equivalent to 2x+y=-3?
(Hint: change the form of the equation)
See teachers response
What is the opposite reciprocal of 4/5?
-5/4
A negative correlation goes ___?
down
To find the y-intercept you must ____ for x and y in y=mx+b using the ___ of the point on the line
substitute and coordinates
How do you label the numbers when you are given two points in point-slope form?
x1 y1 x2 y2
Is y=x equivalent to 2y+2x?
yes
What would the slope be of a line that is parallel to y=-2x+7?
m=-2
What is it called when there is no relationship between x and y values?
no correlation
Find the equation of the line when the point is (-2,3) and slope is -5
y=-5x-7
find the slope when the points are (2,-3) and (-5, 1)
m= -4/7
Convert 2x+4y=10 to slope-intercept form
y=-1/2x+2.5
What would the slope be of a line that is perpendicular to y= 1/3x=20?
m= -3
For a positive correlation, as the x value goes up...
so does the y value
Find the slope with the points (1,1) and (5,3)
m=1/2