99 points

question 1

use the slope formula to find the slope of the line passing through the given points.
(2, 1) and (4, –5)

question 2

explain why the triangles below are proportional to each other.
graph of a line containing the points: a(–10, –5), c(–2, –1), d(4, 2), and f(8, 4). point b is plotted at (–2, –5) to form triangle abc and point e is plotted at (8, 2) to form triangle def.

question 3

what is the slope of this line? how much does each pencil cost?

question 4

a bus travels at a constant speed of 55 miles per hour. how far will it travel in 5 hours?

question 5

bob is selling floral arrangements. each arrangement uses 1 vase and 15 tulips. each vase costs bob $4.00. let c be the total cost of the arrangement and t be the cost of 1 tulip. write an equation, in slope-intercept form, that represents the total cost of each arrangement to bob.

question 6

does this graph show a proportional relationship? why or why not?

question 7

write the equation of the line containing the point (4, 6) and having a slope of 4 in slope-intercept form.
question 8

this graph shows matt's progress as he walks in the direction of grandma's house:
coordinate plane with x-axis labeled time in hours and y-axis labeled distance in miles. graph of a line contains the following points: (0, 0), (1, 3), (2, 6), (3, 9), (4, 12), and (5, 15)

olivia walks at a rate of 2 miles per hour. who travels at a faster rate, matt or olivia? how do you know this?

question 8

this graph shows matt's progress as he walks in the direction of grandma's house: olivia walks at a rate of 2 miles per hour. who travels at a faster rate, matt or olivia? how do you know this?