Writing Equations In Slope-Intercept Form
Writing Equations In Point-Slope Form
Writing Equations of Parallel & Perpendicular Lines
Finding Slope
Miscellaneous
100
Write the equation of the line that passes through the points (0,5) and (4,9) in slope-intercept form.
y=x+5
100
A line has a slope of 1/3, and passes through the point (-3,1). Write the equation in point-slope form.
y-1=1/3(x+3)
100
Find the equation of the perpendicular to y = -2/5x - 3 that passes through the point (2,8)
y = 5/2x + 3
100
What is the slope of the line through (1,-1) and (5,-7)?
-3/2
100
What is the slope of the line?
2
200
Write the equation of the line that passes through the points (0,8) and (3,2) in slope-intercept form.
y=-2x+8
200
A line that includes the point (4,7) has a slope of 7. What is its equation in point-slope form?
y-7=7(x-4)
200
Write the equation of a line that is perpendicular to y=5, and that passes through the point (-7,-5)
x=-7
200
What is the slope of the line that contains these points?
[x][-1] [1][3] [5] [y][10][2][-6][-14]
-4
200
What is the slope of the line that contains these points?
[x] [8] [11] [14] [17] [y][36][12][-12][-36]
-8
300
Write the equation of the line that passes through the points (1,4) and (3,10) in slope-intercept form.
y=3x+1
300
Line A has an equation of y=-1/8x+4. Write an equation in point-slope form for a parallel line that goes through the point (-9,-6).
y+6=-1/8(x+9)
300
Write the equation of a line that is parallel to y=-5/4x + 7 and that passes through the point (-4,1)
y=-5/4x - 4
300
Which ordered pair is a solution of the equation?
-4x+7=2y-3
A. Only (2,1) B. Only (5,-5) C. Both (2,1) and (5,-5) D. Neither
C. Both (2,1) and (5,-5)
300
What is the slope of the line through (-4,2) and (3,-3)?
-5/7
400
Write the equation of the line that passes through the points (2,9) and (4,1) in slope-intercept form.
y=-4x+17
400
Line A 's equation is y=-1/9x - 5. Write an equation for line B which is perpendicular to line A and passes through the point, (1,3). Write it in point-slope form.
y-3=9(x-1)
400
Write the equation of a line that is parallel to y=6x + 1 and that passes through the point (-7,1)
y = 6x + 43
400
A line has the slope of -3/4. Which of the following two points have a parallel slope and which of the two points has a perpendicular slope?
A. (-4,12)
B. (11,8)
C. (-5,4)
D. (9,-3)
E. (4,9)
F. (0,-10)
Perpendicular: B. Parallel: E
400
Convert the following to slope-intercept:
Y-3=4(X+6)
Y=4x+27
500
A scientist is conducting an experiment on how much energy is used based on how fast you run. The scientist recorded that if you run 5 m/s, you use 35 joules, and when you run 9 m/s you use 55 joules. Using the two data points the scientist recorded, find the slope of the line in slope intercept form.
y=5x+10
500
A line with the slope 1/3 is plotted on a line. Write an equation for a perpendicular line that goes through the point (3,9). Use the point slope to find the answer. Write the answer in slope intercept.
y=-3+18
500
Write the equation of a line that is perpendicular to y=-0.3x+6 and that passes through the point (3,-8)
y=10/3x - 18
500
Jimmy has the two points (3,5) and (7,1) on a graph. The points connect to form a line on the graph that goes on forever in both directions. He is told that there are 2 points (2,4) and (8,6) that form a line, he needs to figure out if the point that the two lines intersect is a 90 degree angle. He wants you to tell him the answer.
The two lines do not intersect at a 90 degree angle.
500
An air traffic controller controls all aircraft in the 1st quadrant of the graph. The air traffic controller wants to know which planes will go into his airspace for the day. The following planes and their routes will be listed. Which of the 4 planes will go into the controllers airspace?
Plane A: X=4
Plane B: Y=-3/4x+5
Plane C:Y=3
Plane D: Y=4/3x-3
Plane B and C will enter the controllers airspace at some point.