Vocabulary
The ratio of the vertical change to the horizontal change.
What is slope?
(0,1), (2,7)
What is 3?
Passes through (1,9), slope = 2
y - 9 = 2(x - 1)
y = -5x + 2
m = -5
b = 2
Slope equation
y2 - y 1
______
x2-x1
The vertical change.
What is Rise?
(2,5),(3,1)
What is -4?
Passes through (4,1), slope = -3
y + 1 = -3(x - 4)
y = 1/2x - 6
m = 1/2
b = -6
Slope intercept form equation
y= mx + b
The horizontal change.
What is Run?
(1,2), (4, 7)
What is 5/3?
Passes through (-4,-5), slope = 3/4
y + 5 = 3/4(x + 4)
y = 3x + 4
m = 3
b = 4
standard form equation
Ax +By = C
The y-coordinate of the point where a line crosses the y-axis.
What is the y-intercept?
(-2,3), (7, -4)
What is -7/9?
Passes through (3,-6) and (-1,2)
y + 6 = -2(x - 3)
3x + y = -4
m = -3
b = -4
Point slope form equation
y - y1 = m(x-x1)
What is slope intercept form?
(-6,-1), (4,1)
What is 1/5?
Passes through (4,-4) and (8,-10)
y + 4 = -3/2(x - 4)
y - 2x = 8
m = 2
b = 8
If I need to find the x and y intercepts, which equation gives them to me the fastest?
Standard form