Question

Compare the table and equation.

Answer 1

Answer:

The equation has the greatest slope

Step-by-step explanation:

General equation of a line is expressed as y = mx+c where:

m is the slope

c is the intercept

Slope or gradient of a line is expressed as

m = ∆y/∆x = y2-y1/x2-x1

According to the table, we can take any two value of y and its x equivalent to get the slope.

Using when x1 = 1, y1 = 3, and when x2 = 2, y2 = 6

Slope of the table m = 6-3/2-1

m = 3/1

m = 3

For the equation:

y = 4x

Comparing this to general equation of a line y = mx+c

m = 4

Comparing both value or the slope, it can be seen that the equation has the greatest slope which is 4

Answer 2

The slope formula is y2 - y1/x2 - x1. 

First plug in x = 1, x = 2, and x = 3 in to the equation y = 4x to find the first 3 points(Like the first three are shown for the table.) which are (1, 4), (2, 8), and (3, 12). 
The slope of the table would be 9 - 3/3 - 1, after subtracting you get 6/2. You would then divide 6 by 2, which gives you 3. 3 is the slope of the table.

The slope of the equation goes through the same process. 12 - 4/3 - 1, after subtracting it's 8/2, and after dividing you get 4. The slope of the equation is 4. 

This means the equation has the greater slope.