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Graph the equation:

y=14x-2.

Short Answer

Expert verified

Required graph of the equation,y=14x-2

Step by step solution

01

Given information: 

The given equation isy=14x-2.

02

Construct a table which contains the coordinates that are the solutions to the equation: 

The given equation, y=14x-2has both x and y. The y coordinates will change with respect to the x-values, since y values is dependent on the values of x.

As the above given equation has the fraction 14as a coefficient of x, we need to choose the x-values as zero and multiples of 4. This gives us the coordinates ( or the points ) that are the solutions to the equation.

x
y=14x-2
x,y
-8
y=14-8-2=-2-2=-4
-8,-4
-4
y=14-4-2=-1-2=-3
-4,-3
0
y=140-2=0-2=-2
0,-2
4localid="1653031091962" y=144-2=1-2=-1
4,-1
8
y=148-2=2-2=0
8,0
03

Plot the graph :   

Using the table given in the step 2, point the coordinates on the graph. Then join the points with the straight line.

we get the graph of the equation y=14x-2,

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