Answer:
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.