Writing Equations in Point Slope Form
Writing Equations in Slope Intercept Form
Writing Equations of Parallel and Perpendicular Lines
Finding Slope
Miscellaneous
100
Write an equation in point-slope form of the line that passes through the given point and has the given slope:
(3, 4); m = 2
y - 4 = 2(x - 3)
100
Write an equation in slope intercept form with a y intercept of 8 and a slope of -2
What is y=-2x+8?
100
What is the slope of the line that is perpendicular to the line y = 3x + 5 and has a y intercept of 8?
y = -1/3x + 8
100
What is the slope of the line y = 5x + 2?
5
100
Imagine a line segment formed between the points Q and V. Write the line in interval notation
[-4,1]
200
Write an equation in point-slope form of the line that passes through the given point and has the given slope:
(-6, -2); m = -3
y + 2 = 3(x + 6)
200
Write an equation in slope intercept form with a y-intercept of -3/5 and a slope of 1/9
y= 1/9x - 3/5
200
What is the slope of y = _x +8 if it is parallel to 5y = 15x -12
3
200
What is the slope of the equation 2y - 1 = 12x - 5?
6
200
Write the equation of this inequality
13 < x <= 32
300
Write an equation in point-slope form of the line that passes through the given point and has the given slope:
(2,7); m = -4
y - 7 = -4(x - 2)
300
Rewrite the equation 13x-11y=-12 in slope intercept form
What is y = 13/11x + 12/11
300
Write the equation of a line that is perpendicular to y=0.25x-7 and that passes through the point (-6,8).
y = -4x - 16
300
What is the slope of this line?
-2
300
Write the equation 1<x<=35 in set builder notation
{x l x>1 and x<=35}
400
Write an equation in the point-slope form of the line that passes through the two points given. Use the first point to write the equation:
(4,7) and (5,1)
y - 7 = -6(x - 4)
400
In order to join a dancing club there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.
y=4x+30
400
Write the equation of a line that is perpendicular to x = -6 and that passes through the point (-1,-2).
y = -2
400
What is the slope of line AB? This line is perpendicular to the line 8y + 4x = 12.
2
400
Is this a function?
F(x) = 3xx + 3x +25
Yes
500
A climber is on a hike. After 2 hours he is at an altitude of 400 ft. After 6 hours, he is at an altitude of 700 feet. What is a point slope equation for the climber?
y - 700 = 75(x-6)
500
Write the slope intercept form of the equation of the line that goes through the point (-2,5) and has a slope of 4.
y = 4x + 13
500
An architect uses software to design the ceiling of a room. The architect needs to enter an equation that represents a new beam. The new beam will be perpendicular to the existing beam, which is represented by the red line. The new beam will pass through the corner represented by the blue point. What is the equation that represents the new beam?
y - 10 = 3/2(x - 12)
500
The cost of a school banquet is $95 plus $15 for each person attending. What is the cost for 77 people?
$1250
500
What is the slope of the line 3x + 5y = 30
What is -5/3?