05.01) Compare the table and equation
ху
4 12
5 15
6 18
Equation: y = 3x
Which representation has the greatest slope?
The equation has the greatest slope.
The table has the greatest slepe.
The table and equation have the same slope.
Their slopes cannot be determined.

The table and equation have the same slope.

Step-by-step explanation:

Table :

х    у

4   12

5   15

6   18

Given equation :  y = 3x

General equation: y=mx+c

Where m is the slope

So, On comparing

So, Slope = m =3

Hence The table and equation have the same slope.

but which class are u may know that first

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true