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
Convert to standard form.
y = -6x + 24
6x + y = 24
What variables represent the point and the slope in point slope form?
Point: (X1, Y1)
Slope: m
Are the following lines Parallel, Perpendicular, or neither? Explain.
y = 1/7x + 2
y = -7x - 7
Perpendicular.
The slopes are opposite and negative to each other.
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
Convert to slope-intercept form.
x - 8y = 64
y = 8x - 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? Explain.
y = x - 3
y = -x - 3
Neither.
The slopes are not the same nor are they opposite reciprocals of the other.
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
Is this equation written in correct standard form. If not, correct it.
3x + 2y = 20
Yes, this equation is written in correct standard form
What is one point of this line?
y - 4 = 2(x + 9)
(-9,4)
Write an equation for a line parallel to y = 3/2x + 4 that goes through the point (2,1) in slope-intercept form.
y = 3/2x - 2
What is the slope of this line.
4x + 2y = 46
Slope: -2
Convert this to slope intercept form and identify the slope and y-intercept.
3x - 2y = -6
y=3/2x+6
m=3/2
b=6
Is this equation written in correct standard form? If not correct it.
-3/4x - 1y = 3
No, this correct form is
3x + 4y = -12
Convert to slope intercept form.
y+3=4(x-1)
y=4x-5
Write an equation for a line perpendicular to y = -3x - 8 that goes through the point (3,6) in slope-intercept form.
y = 1/3x + 5