Finding Slope
How do you find slope when given two points?
m = y2 - y1 / x2 - x1
What is slope-intercept form?
y = mx + b
What is Standard form?
Ax + By = C
What is point-slope form?
y - y1 = m(x - x1)
How do you know if lines are parallel?
If their slopes are the same. Example:
y = x + 4
y = x - 3
What is the slope?
y = -3/5x + 2
What variables represent slope and y-intercept in the slope intercept form?
Slope: m
y-intercept: b
Find the x and y intercepts.
6x + y = 24
x (4, 0) and y(0, 24)
What variables represent the point and the slope in point slope form?
Point: (X1, Y1)
Slope: m
How do you know if lines are Perpendicular?
If the slopes are opposite and negative to each other then they are Perpendicular. Example:
y = 1/7x + 2
y = -7x - 7
What is the slope of these 2 points?
(2,5) and (4,0)
Slope: -5/2
What is the slope and y-intercept?
y = -5x - 3
Slope: -5
y-intercept: -3
Find the x and y intercepts.
x - 8y = 64
x(64, 0), y(0, -8)
Write an equation of a line in point slope form that goest through point (5,3) and the slope as 2.
y-3=2(x-5)
Are these lines Parallel, Perpendicular, or neither?
y = x - 3
y = -x - 3
neither
What is the slope of these 2 points?
(4,5) and (1,-1)
Slope: 2
Convert this to slope intercept form.
4x + 2y = 2
y = -2x + 1
Convert to slope-intercept form.
4x - 5y = 10
y = 4/5x-2
What is one point of this line?
y - 4 = 2(x + 9)
(-9,4)
Are these lines Parallel, Perpendicular, or neither?
y = 3/2x + 4
y = 3/2x - 2
Parallel
What is the slope of this line.
4x + 2y = 46
Slope: -2
Write the equation of the line in slope intercept form that passes through points (2,0) and (4,6).
y = 3x-6
What is the slope and y-intercept?
3x + 2y = 20
Slope: -3/2
y-intercept: 10
Convert to slope intercept form.
y+3=4(x-1)
y=4x-5
Are these lines Parallel, Perpendicular, or neither?
y = 1/3x + 5
y = -3x - 8
Perpendicular