Finding Slope
What is the slope for the following points- (2,6) and (1,3)
m=3
What is the y intercept of an equation where slope= 5 and points (5,5)
y-intercept= (0,-20)
The cash register subtracts $2.50 from a $25 Coffee Café gift card for every medium coffee the customer buys. Use the graph to write an equation in slope-intercept form to represent this situation.
y = -2.5x + 25
The table shows the temperature of a fish tank during an experiment. Graph the data, and find the slope and y-intercept from the graph. Then write the equation for the graph in slope-intercept form.
Time (h) 0 1 2 3 4 5
Temperature (°F) 82 80 78 76 74 72
y = -2x +82
If a line passes through the points (0,4) and (4,1), what is the equation of the line?
y=-3/4x+4
Hari’s weekly allowance varies depending on the number of chores he does. He received $16 in allowance the week he did 12 chores, and $14 in allowance the week he did 8 chores. Write an equation for his allowance in slope-intercept form.
y = 0.5x + 10
Elizabeth’s cell phone plan lets her choose how many minutes are included each month. The table shows the plan’s monthly cost y for a given number of included minutes x. Write an equation in slope-intercept form to represent the situation. Minutes included, x 100 200 300 400 500
Cost of plan ($), y 14 20 26 32 38
y = 0.06x + 8
What is the equation of a line that passes through the points (3,21) and (1,15)?
What is y= 3x+12
Li is making beaded necklaces. For each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace.
y = 5x + 27
A salesperson receives a weekly salary plus a commission for each computer sold. The table shows the total pay, p, and the number of computers sold, n. Write an equation in slope-intercept form to represent this situation.
# of computers sold, n 4 6 8 10 12
Total pay ($), p 550 700 850 1000 1150
p = 75n +250
What is the equation of a line that passes through the points (0,-4) and (4,-1.5)?
The answer is y= 5/8x- 4
A balloon is released from the top of a platform that is 50 meters tall. The balloon rises at the rate of 4 meters per second. Write an equation in slope-intercept form that tells the height of the balloon above the ground after a given number of seconds.
y = 4x + 50
To rent a van, a moving company charges $40.00 plus $0.50 per mile. The table shows the total cost, c, and the number of miles driven, d. Write an equation in slope-intercept form to represent this situation.
# of miles driven, d 10 20 30 40 50
Total cost ($), c 45 50 55 60 65
c = 0.50d + 40
If a line passes through the points (2, 10) and (8,18), what is the equation of the line?
y = 1.25x + 8
A dragonfly can beat its wings 30 times per second. Write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the dragonfly beats its wings.
y = 30x
The table shows the temperature (y) at different altitudes (x). This is a linear relationship. Write the equation from the table data.
Altitude (ft), x 0 2,000 4,000 6,000 8,000
Temp. (°F), y 59 51 43 35 27
y = -0.004x + 59
What is the equation of a line that passes through the points (1,8) and (5,48)?
y = 10x - 2