Question

A car traveled 261 miles on 9 gallons of gas. The same car also traveled 145 miles on 5 gallons of gas. If the ordered pairs for this relationship are (gallons,

distance), what is the slope of the line through these two ordered pairs?

Answer 1

slope = 29

Explanation:

Given that

the ordered pairs for this relationship are (gallons, distance)

it means on coordinate plane

x represents gallons

y represents distance

thus,

two point on plane will be

A car traveled 261 miles on 9 gallons of gas

miles = 261 ---let it be represented by x1

gallons = 9---let it be represented by y1

(x1,y1) = (9,261)

miles = 145 ---let it be represented by x2

gallons = 5---let it be represented by y2

(x2,y2) = (5,145)

slope of two points (x1,y1) and (x2,y2) is given by

slope = m = (y2-y1)/(x2-x1)

thus, slope of the above ordered pair

m = (145-261)/(5-9) = -116/-4 = 29

Thus, slope of the line through these two ordered pairs is 29.