Chapter 4: Q. 121 (page 453)

Graph the equation:
$y = - \frac{1}{2} x + 3$ .

Short Answer

Expert verified

Required graph of the equation, $y = - \frac{1}{2} x + 3$

Step by step solution

Given information:

The given equation is $y = - \frac{1}{2} x + 3$ .

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

The given equation, $y = - \frac{1}{2} x + 3$ 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 $\frac{1}{2}$ as a coefficient of x, we need to choose the x-values as zero and multiples of 2. This gives us the coordinates ( or the points ) that are the solutions to the equation.

$x$	$y = - \frac{1}{2} x + 3$	$(x, y)$
$- 4$	role="math" localid="1653019962735" $y = - \frac{1}{2} \times (- 4) + 3 = (+ 2) + 3 = 5$	$(- 4, 5)$
role="math" localid="1653019741666" $- 2$	$y = - \frac{1}{2} \times (- 2) + 3 = (+ 1) + 3 = 4$	$(- 2, 4)$
$0$	$y = - \frac{1}{2} \times (0) + 3 = 0 + 3 = 3$	$(0, 3)$
role="math" localid="1653019760315" $2$	$y = - \frac{1}{2} \times (2) + 3 = (- 1) + 3 = 2$	$(2, 2)$
role="math" localid="1653019769211" $4$	$y = - \frac{1}{2} \times (4) + 3 = (- 2) + 3 = 1$	$(4, 1)$

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 $y = - \frac{1}{2} x + 3$ ,

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Graph the equation:
$y = - \frac{1}{2} x + 3$ .

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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Graph the equation:y=-12x+3.

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.

Most popular questions from this chapter

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Graph the equation:
$y = - \frac{1}{2} x + 3$ .