Question

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Answer 1

Answers:

Answer for A is 1

Answer for B is 3

Answer for C is 0.5

Answer for D is Table.

Step by step explanation:

Figure shown graph of a line

Table of x and y value are given as

X    Y

0    3

1     6

2    9

3    12

The equation of a line is given as y=0.5x+1

QA). What is the slope of the line in the graph

Ans.

The slope is given as $s=\frac{Y2-Y1}{X2-X1}$

In the graph, the line passing through points (0,5)(-5,0)

The slope of a line:

$s=\frac{Y2-Y1}{X2-X1}$

$s=\frac{0-5}{(-5)-0}$

$s=1$

The slope of the line in the graph is 1

QB). What is the slope of the line in the table

Ans.

The slope is given as $s=\frac{Y2-Y1}{X2-X1}$

In the table, the line passing through points (0,3)(1,6)

The slope of a line:

$s=\frac{Y2-Y1}{X2-X1}$

$s=\frac{6-3}{(1-0}$

$s=3$

The slope of the line in the table is 3

QC). What is the slope of the line in the equation

Ans.

The equation of a line is given as y=mx+c

The equation of a line is y=0.5x+1

Where m= slope

On comparing both the equation we get,

m=0.5

The slope of line in the equation is 0.5

QD). Which has the greatest rate of change

Ans.

The slope of the line in the graph is 1

The slope of the line in the table is 3

The slope of the line in the equation is 0.5

There, Rate of change is also called as the slope and it is greatest in case of the table.