The formula for slope-intercept form
What is y = mx + b
The equation for Point-slope form
What is
y - y_1 = m(x-x_1)
The slope of a line which is parallel to
y = -2x+8.
What is -2?
The slope of the line which is perpendicular to
y = -2x + 1.
What is
1/2?
This line has a the lowest y-intercept. (b) .
What is the black line?
The "m" in the slope intercept formula
What is the slope?
True or false: There is only one point-slope formula for each line.
False: There are infinitely many points on a line, and you could use any of them in the formula.
The equation of a line parallel to
y=x-3
but 4 units higher.
What is
y=x+1?
The equation of the line perpendicular to
y = x/3 + 2
but with the same y-intercept.
What is
y = -3x+2?
This line has the highest slope (m) .
What is the red line?
The "b" in the slope-intercept formula
What is the y-intercept?
The result of converting point-slope form into slope-intercept form.
What is
y = mx - mx_1 + y_1?
The equation of the line parallel to
y-2 = 3(x+1)
but 6 units lower.
What is
y+4=3(x+1)?
OR
y-2=3(x+1)-6?
The equation of the line perpendicular to
y+4=6(x-1)
which intersects it at (1,-4).
What is
y+4=(-1/6)(x-1)?
For this line b=0 .
What is the blue line?
'Rise over run' refers to this property of a line.
What is the slope?
The y-intercept of the line
y-4=2(x-1)+3.
What is 5?
This is the point where the lines
y=-x+7
and
y+1=-(x-2)
will intersect.
What is nowhere?
The slope of a line perpendicular to the horizontal line
y=7.
What is 'undefined'? (-1/0 isn't a number! So how do you write the equation for a vertical line?)
For this line m=0 .
What is the black line?
You calculate the slope (m) using this equation
What is
m = (y_2-y_1)/(x_2-x_1)
The line
y=3x+1
written in point-slope form with
x_1=2.
What is
y-7=3(x-2)?
The line
y=2x
is parallel to the line which passes through the points (2,3) and (4,_)
What are (2,3) and (4,7)?
The line perpendicular to
y=x
which passes through the point (3,-3).
What is
y=-x?
For this line m is a negative number.
What is the green line?