Slope-Intercept Form
Standard Form
Point Slope Form
Parallel / Perpendicular Lines
Random
100
Write an equation in slope intercept form
m = 5 b = -10
y = 5x - 10
100
What is standard form?
Ax + By = C
100
What is point slope form?
y - y1 = m(x - x1)
100
Parallel lines have _____ slopes
Perpendicular lines have _______ slopes
Same
Opposite (reciprocal and sign +-)
100
What type of slope is this?
Undefined
200
Write an equation in slope intercept form
m = 4 (0, 2)
y = 4x + 2
200
What is the x and y intercept of this equation?
7x + 8y = 112
x intercept - 8
y intercept - 7
200
Write the equation in point-slope form of the line that passes through the given point with the given slope.
(2, 1) m = 3
y - 1 = 3(x - 2)
200
Select the line that is perpendicular to y = -2x + 5
A. y = -2x + 10
B. y = 1/2x - 5
C. y = -1/2x -5
B. y = 1/2x - 5
200
Draw Mr. Slope Guy
300
Question 6 on paper
4x - y = 1
y = 4x - 1
300
Write the standard form equation x - 4y = 28 in slope intercept form.
y = 1/4x - 7
300
Write an equation in point-slope form of the line that passes through the given points.
(−5, 1) and (3, 4)
y - 4 = 3/8 (x - 3)
OR
y - 1 = 3/8 (x + 5)
300
Select an equation that represent lines that are parallel to the graph of 8x + 2y = 7.
A. 16x + 4y = 14
B. y = -2x
C. 4x + 2y = 3
A. 16x + 4y = 14
2(8x + 2y = 7)
300
Name two ways to find slope
m = y2 - y1 / x2 - x1
Rise over Run
Change of y over change of x
# multiplied by x in y=mx+b or solve for m in slope intercept form
400
Question 1 on paper
3x - 2y = -16
y = 3/2 x + 8
400
Question 11 on paper
Write the standard form of the equation of the line that goes through (-2, 5) and has a slope of -4
4x + y = -3
400
Question 20 on paper
Write an equation in point-slope form that is
parallel to y = -5x + 2
AND runs through (-1, 4)
y - 4 = -5(x + 1)
400
Write an equation of a line in slope intercept form that is perpendicular to y = -3x + 3 and b = 5
y = 1/3x + 5
400
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y = 4x + 5
2x + 8y = 16
Perpendicular
500
Question 8 on paper
11x - 8y = -48
y = 11/8x + 6
500
Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. What equation in standard form determines the numbers of hardcover books x and paperback books y he can buy?
5x + 2y = 20
500
Explain why it does not matter which point you choose when writing the equation of the line in point-slope form, given two points.
The end result will be the same
500
What is the equation in slope-intercept form of the line that passes through the point (6, 3) and is parallel to the graph of y = -2/3x + 12?
y = -2/3x + 7
500
Graph y = 2
What slope does this have?
