Vocabulary & Terms
Define the y-intercept
the point where a given line intersects the y-axis;
b
(0,0) & (1,5)
m = 5
x: 0 2 5 6
y: -1 3 9 11
m = 2
y = 2x + 7
y-intercept: 7
Write the equation of a line with a slope of 1/5 and a y-intercept of 3.
y = (1/5)x + 3
Define slope
rise over run
y/x
(y2 - y1) / ( x2 - x1)
rate of change
m
(2,3) & (5,7)
m = 4/3
x: -1 1 4 7
y: -1 5 14 23
m = 3
Identify the slope and y-intercept of the following line:
y = 3 + 4x
slope: 4 (4/1)
y-intercept: 3
Write the equation of a line with a slope of 3 and a y-intercept of -7.
y = 3x - 7
What is the general equation for slope-intercept form?
y = mx + b
(8,4) & (2, -3)
m = 7/6
x: -5 -2 0 7
y: -11 -8 -6 1
m = 1
Identify the slope and y-intercept of the following line:
y = -5x + 2
slope: -5 (-5/1)
y-intercept: 2
Write the equation of a line with a y-intercept of 4 and a slope of 9.
y = 9x + 4
Give an example of an ordered pair.
(0 , 0)
(1, 2)
(x , y)
(-3,4) & (5, -3)
m = -7/8
x: -8 0 3 5
y: 1 -7 -10 -12
m = -1
Identify the slope and y-intercept of the following line:
y = (5/7)x - 10
slope: 5/7
y-intercept: -10
Write the equation of a line with a slope of 3/4 and a y-intercept of 0.
y = (3/4)x
What does 4 represent in the following equation?
y = 3x + 4
y-intercept
(-1, -5) & (7, -15)
m = -5/4
x: -3 -1 4 5
y: 2 -2 -12 -14
m = -2
Identify the slope and y-intercept of the following line:
y = (5/2)x + (1/2)
slope: 5/2
y-intercept: 1/2
Write the equation of a line with a y-intercept of 6 and a slope of -2/3.