Chapter 4: Q. 122 (page 453)

Graph the equation:
$y = \frac{1}{4} x - 2$ .

Short Answer

Expert verified

Required graph of the equation, $y = \frac{1}{4} x - 2$

Step by step solution

Given information:

The given equation is $y = \frac{1}{4} x - 2$ .

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

The given equation, $y = \frac{1}{4} x - 2$ has 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 $\frac{1}{4}$ as 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.

$x$	$y = \frac{1}{4} x - 2$	$(x, y)$
$- 8$	$y = \frac{1}{4} \times (- 8) - 2 = (- 2) - 2 = - 4$	$(- 8, - 4)$
$- 4$	$y = \frac{1}{4} \times (- 4) - 2 = (- 1) - 2 = - 3$	$(- 4, - 3)$
$0$	$y = \frac{1}{4} \times (0) - 2 = 0 - 2 = - 2$	$(0, - 2)$
$4$	localid="1653031091962" $y = \frac{1}{4} \times (4) - 2 = (1) - 2 = - 1$	$(4, - 1)$
$8$	$y = \frac{1}{4} \times (8) - 2 = (2) - 2 = 0$	$(8, 0)$

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 $y = \frac{1}{4} x - 2$ ,

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Graph the equation:
$y = \frac{1}{4} x - 2$ .

Short Answer

Step by step solution

Given information:

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

Plot the graph :

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Short Answer

Step by step solution

Given information:

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

Plot the graph :

One App. One Place for Learning.

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Graph the equation:
$y = \frac{1}{4} x - 2$ .