SLOPE-INTERCEPT
Parallel and Perpendicular Lines
STANDARD FORM
Miscellaneous
Point - Slope Form
100
Write an equation in slope-intercept form given the slope is -2 and the y-intercept is 5
y = -2x + 5 or y = 5 - 2x
100
Write the equation in slope intercept form for the line that passes through the point (-3, 5) and is parallel to y = 2x-7
y = 2x + 11
100
In standard form, A must be _____
B must be _____, and C must be _______
Whole, Integer, anything
100
Find the x and y intercepts of the equation 5x - 30y = 150
(30,0) and (0, -50)
100
Write the equation in point-slope form that goes through the point (0, -7) and has a slope of -2
y = -2x-7
200
Write an equation in slope-intercept form for the line that has a slope of 3 and passes through the point (0, 4)
y = 3x + 4
200
Write the equation in s-i form for the line that passes through the point (5, -1) and is perpendicular to 4x -2y = 8
y = -1/2 x +3/2
200
Write the equation of the line that has a slope of 2 and goes through the point (0, 6) in standard form.
-2x + y = 6
200
Write an equation and graph the following:
Cell phone plan
minutes 100 200 300 400
cost ($) 14 20 26 32
C = 3/50 m + 8 OR C = .06m + 8
200
Write the equation in point-slope form that contains the points(0, 3) and (2,0)
(y-3) = -3/2(x-0) OR (y-0)=-3/2 (x-2)
300
Write an equation in slope-intercept form for the line that passes through the points (0, -1) and (-3, -4)
y = x - 1
300
Write a line parallel to the equation y + 9 = 4(x - 2) passing through (0,5)
y = 4x + 5
300
Write the equation of the line in standard form given the equation in point-slope form: y + 2 = 6(x - 5)
-6x + y = - 32
300
Time (hrs) 1 2 3 4 5
Temp 82 80 78 76 72
Write a linear equation representing the situation
T = -2h +82
300
Write the equation of the line in point slope form that passes through (-4,8) and (-4,10)
x=-4
400
Write an equation in slope-intercept form for the line that has a slope of 3 and passes through the point (2, -3).
y = 3x - 9
400
Determine if the 2 lines are parallel, perpendicular, co-linear or none. Show work
4x - 12y = 20
y = -3x -7
perpendicular m = 1/3 and -3
400
Write the equation of the line in standard form given the slope is -4 and it passes through the point (-2, 10)
4x + y = 2
400
What is the equation of the graphed line in standard form
y = 3/2x+3
3x-2y=-9
400
Change the equation y = -3x-9 to point-slope form
(y +9)=-3(x-0)
500
Write an equation in slope-intercept form for the line that passes through the points (3, -1) and (6, 1)
y = 2/3 x - 3
500
Determine if the 2 lines are parallel, perpendicular, co-linear or none. Show work
y - 7 = 5(x + 9)
15x - 3y = 9
parallel m = 5
500
Write the equation y = 11/8 x-8y = -48 in standard form
11x - 8y = -48
500
write a word problem that would match the graph in the picture. Include only quadrant 1 points.
EX. - Bob started with $5 and he lost 3 dollars a day
500
Change the equation y - 7 = 3(x - 8) to slope-intercept AND standard forms.
y = 3x-17
3x - y=17