Slope and y-intercept
What is the formula for slope?
m= (y2 - y1) / (x2 - x1)
The point of a line that intersects the x-axis is called the
x-intercept
m = 4
b = 1/2
Write the equation in slope intercept form
y = 4x + 1/2
How many variables do you need to substitute in to use the point slope formula? List the values you plug in.
m, y1, x1
What is the Mathematical term for the letters 'A' and 'B' in standard form?
coefficients
What is a common phrase we use to refer to slope?
Hint: How you count slope on a graph
rise over run
rise / run
What is standard form?
Ax + By = C
The y-intercept is 6 and the slope is 0. Write the equation in slope intercept form
y = 6
Write in point slope form given the following information.
m = 5
(0 , 4)
y - 4 = 5(x - 0)
or
y = 4 + 5(x - 0)
What is C called in standard form?
Constant
Calculate the slope of a line that foes through (-1 , 3) and (-2 , -5)
m = 8
On a graph, I counted the slope by going down 2 and left 6. What is the slope?
m = 1/3
m = 2 and the line goes through (-1 , -4)
Write the equation in slope intercept form
y = 2x - 2
Write in point slope form given the following info:
(2 , 3) and (1 , -2)
y + 2 = 5( x - 1)
or
y - 3 = 5( x - 2)
Write in standard form
4y = 3x - 7
-3x + 4y = - 7
or (better)
3x - 4y = 7
Calculate the y-intercept of a line with a slope of 1/3 and goes through the point (6 , -2)
b = -4
What is point slope formula?
y - y1 = m(x - x1)
or
y = y1 + m(x - x1)
The line goes through (5 , 3) and has a slope of 6.
Write in slope intercept form.
y = 6x - 27
Write in point slope form:
m = 4/5
and (-2 , 3)
y - 3 = 4/5 ( x + 2)
Write the equation of the line that has a y-intercept of 8, x-intercept of -4 and C value of 16
-4x + 2y = 16
y - 4 = -6( x + 2 )
identify the slope and y - intercept
m = -6
b = -8
Given 3x - 2y = -12, what is the slope of a line parallel to this line?
m = 3/2
In slope intercept form, the line goes through (-7 , 4) and has a y-intercept of 1.
y = -3/7x + 1
The line goes through (-32 , 6) and ( 14 , 8)
y - 8 = 1/23 (x - 14)
or
y - 6 = 1/23 ( x + 32)
What is the x and y intercept of the following equation?
5x - 8y = 80
x intercept = 16
y intercept = -10