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 [tex]s=\frac{Y2-Y1}{X2-X1}[/tex]
In the graph, the line passing through points (0,5)(-5,0)
The slope of a line:
[tex]s=\frac{Y2-Y1}{X2-X1}[/tex]
[tex]s=\frac{0-5}{(-5)-0}[/tex]
[tex]s=1 [/tex]
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 [tex]s=\frac{Y2-Y1}{X2-X1}[/tex]
In the table, the line passing through points (0,3)(1,6)
The slope of a line:
[tex]s=\frac{Y2-Y1}{X2-X1}[/tex]
[tex]s=\frac{6-3}{(1-0}[/tex]
[tex]s=3 [/tex]
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.
