Q6. - Algebra 1

Question

Graph each equation by making a table.

$y=-2x$

Step-by-Step Solution

Answer

The graph for equation $y=-2x$ is:

Step 1. State the concept for plotting a straight-line using equation.

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

Then, algebraically,

• an x-intercept is a point on the graph where y is zero, and
• a y-intercept is a point on the graph where x is zero.

More specifically,

• an x-intercept is a point in the equation where the y-value is zero, and
• a y-intercept is a point in the equation where the x-value is zero.

Step 2. Create a table of values for the equation.

In order to create the table of values use different values of x to solve for y, and graph the values. 

 

Plug in $x=0$ in the equation $y=-2x$ and solve for y.

$$\begin{gathered} y=-2\left(0\right) \\ =0 \end{gathered}$$ 

For $x=1$,

 $$\begin{gathered} y=-2\left(1\right) \\ =-2 \end{gathered}$$

For $x=-1$,

 $$\begin{gathered} y=-2\left(-1\right) \\ =2 \end{gathered}$$

Therefore, the table thus obtained is:

 

x	0	1	$-1$
y	0	$-2$	2

Step 3. Plot the graph.

Graph the equation $y=-2x$ by plotting the values from the table and get: