Writing equations in slope-intercept form
Writing equations in point slope form
writing equations of parallel and perpendicular lines
finding slope
miscellaneous
100


A line has a slope of 1/4  and a y-intercept of 8. Write its equation in slope-intercept form.

what is y=1/4x+8

100

A line has a slope of 1/4 and passes through the point (2,5) write this in point slope form

what is y-5=1/4(x-2)

100

The equation for line s can be written as y = –10x + 54. Parallel to line s is line t, which passes through the point (–1,3). What is the equation of line t in slope intercept form?

what is y=-10x - 7

100

Find the slope using the two coordinates, (7,10) and (2,3). 

what is 7/5

100

A line has a slope of – 6 and a y-intercept of 23. Write its equation in slope-intercept form.

what is y= –6x + 23



200

Write its equation in slope-intercept form. The y-intercept is -1/2 and the slope is -5. 

what is y=-5x-1/2

200

A line has a slope of -3 and passes through the point (6,-9). Write and simplify this in point slope form.

what is y+9=-3(x-6)

200

The equation of line t is y = –3x – 9. Perpendicular to line t is line u, which passes through the point (6,–3). What is the equation of line u?

what is y=13x–5.

200

Find the slope using the two points (-18,-20) and (-18,-15)

what is Undefined

200

A line that includes the point (4,5) has a slope of –12. What is its equation in point-slope form?

what is y–5= –12 (x–4).

300

A line has a slope of -4 and passes through the point (-4,17). Find the equation in slope intercept form. 

what is y=-4x+1

300

a line passes through the points (2,1) and (-2,-3). Write this in point slope form using the points (2,1). 

what is y-1=4(x-2)

300

a line goes through (3,1) and is perpendicular to y=2/3+4

what is 3x-2y=7

300

Find the slope using the equation 5x+2y=6

what is -5/2

300

find the slope using the two coordinates (1/2,5) and (2,17) 

what is 8 

400

In order to join a math club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.

what is y=4x+30

400

write the slope intercept form equation y=3x-6 in point slope form.

what is y+6=3(x-0)

400

Write the equation of the line that is parallel to the graph of y=-4x-9 , and whose y-intercept is 3 in point slope form.

what is y-3=-4(x-0)

400

 find the slope using the equation y=-x+2

what is -1

400

Write an equation of the line perpendicular to the graph shown that passes through (1,0).

what is 𝑦 =-2/5 (𝑥 − 1)

500

2+4y=3x+10

what is y=34x+2

500

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. Write this equation in point slope form.


what is y - 700 = 75(x - 6)

500

 A store’s average daily profits y are given by the equation y = 2x + 3 where x is the number of hours available for customer purchases. the store adds an online shopping option. Write an equation in slope-intercept form to show a new profit line with the same profit rate containing the point (0, 12).

what is y-12=2(x-0)

500

The movie theater is selling tickets for $80 for 16 tickets. Find how much it is per ticket. 

what is $5 per ticket

500

Two streets are parallel on a map, 7th street and 8th street. The map is put on a coordinate plane and the equation for 7th street is 𝑦 = 2𝑥 − 6. 8th street goes through the coordinates (1,3) on the map. Write an equation of the line 8th street is on.

what is 𝑦 − 3 = 2(𝑥 − 1)