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Compare the table and equation.


x y
1 3
2 6
3 9


Equation: y = 4x

Which representation has the greatest slope?
The equation has the greatest slope.
The table has the greatest slope.
The table and equation have the same slope.
Their slopes cannot be determined.

I would really appreciate some help with question :)

Respuesta :

Lilliachan
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. 
abidemiokin

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

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