Writing Equations of Lines

Random

100

Find the slope of a line that passes through 

(4, 8) and (-1, 6) 

m = 2/5

200

Find the slope of the line that passes through

(9, 7) and (9, -8)

m = Undefined 

300

What is the inverse relation? 

{(1,2),(-3,-1),(-5,6)}

{(2,1),(-1,-3),(6,-5)}

400

Write the inverse function: 

y=2x-2

f^(-1)(x)=1/2x+1

500

Write the inverse function. 

2x-3y=6

f^(-1)(x)=3/2x+3

Parallel and Perpendicular Slope

100

Find the slope parallel to a line where m= -8

m = -8

200

Find the slope of a line perpendicular to a line where m= -7/6

m = 6/7

300

Find the slope of a line parallel to a line that passes through (-22, -4) and (19, -4)

m = 0 

400

Find the slope of a line perpendicular to a line that passes through (18, 4) and (18, 7)

m = 0

500

Which perpendicular slope is larger?

(0, -9) and (14, -6)

(-2, -3) and (-5, -7)

(-2, -3) and (-5, -7)

Slope Intercept Form

100

Write the equation of a line in slope intercept form that has a slope of 7 and y-intercept of 2

y = 7x + 2

200

Write the equation of a line in slope intercept form that has a slope of -5 and a y-intercept of -8

y = -5x - 8

300

Write the equation of a line in slope intercept form that has a slope of 17 and passes through (0, 0)

y = 17x

400

Write the equation of a line in slope intercept form that has a slope of -11 and passes through (7, -3)

y = -11x + 74

500

Write the equation of a line in slope intercept form that passes through points (18, 2) and (22, 14)

y = 3x - 52

Point Slope Form

100

Write the equation of a line in point slope form that passes through (2, 6) and has a slope of 6

y - 6 = 6(x - 2) 

200

Write the equation of a line in point slope form that passes through (-6, -9) and has a slope of -5

y + 9 = -5(x + 6)

300

Write the equation of a line in point slope form that passes through (3, 3) and (4, 5)

y - 3 = 2(x - 3) or

y - 5 = 2(x - 4)

400

Write the equation of a line in point slope form that passes through (10, 6) and (11, -7) (using the second point)

y + 7 = -13(x -11)

500

Write the equation of a line in point slope form that passes through (-1, 8) and (13, 4). Write BOTH equations and reduce the slope

y - 8 = -2/7 (x + 1) 

y - 4 = -2/7 (x - 13)

Standard Form

100

What is standard form?

ax+by=c

200

Write the equation in standard form:  

y-2=-3(x-4)

3x+y=14

300

Write in standard form: 

y=2/3x+2

2x-3y=-6

400

Write the equation in standard form with a slope of -3 and point (1,2). 

3x+y=5

500

Write the equation in standard form that goes through the points (2,3) and (1,2)

x-y=-1