Question

Compare the table and equation. x y 1 3 2 6 3 9 Equation: y = 4x Which representation has the greatest slope?

a) The equation has the greatest slope.
b) The table has the greatest slope.
c) The table and equation have the same slope.
d) Their slopes cannot be determined.

Answer 1

a) The equation has the greatest slope.

Explanation:

The table has the values as shown below;

x y

1 3

2 6

3 9

The gradient of the line can be found as;

m=Δy/Δx

m= 9-3 /3-1

m= 6/2

m₁= 3

The equation of the other line is : y=4x

The gradient is , m₂ = 4

The presentation with the greatest slope is the equation that has a slope of 4.