Question

1.What is the slope for the following table of values?

Gallons of has used: 1,2,3,4

Miles driven: 26,52,78,104

2. Write an equation in y= mx + b form for the previous problems table.
A: y=26x
B: y=26x + 26
C: y=26x + 1
D: y=26x - 1

Answer 1

Take two pairs of points, (1,26) and (2,52).

slope = change in y=values/change in x-values
= [(52-26)/(2-1)] = 26/1 = 26

The slope of the line is 2.

The equation of the line is y = mx + m, with m, the slope = 26

so y = 26x + b

Let x = 1 and y = 26, so 26 = 26(1) + b, b = 0

Equastion of the line is y = 26x.