Question

How do you graphY= -1/3x + 5

Answer 1

Notice that the given equation corresponds to a line with slope -1/3 and y-itercept 5.

To draw the graph of a line, find two points that belong to the line, plot them and then draw a line through them.

Since the y-intercept is 5, then the point (0,5) belongs to the graph of the line.

Replace any other value for x to find the corresponding value of y. Use those values of x and y as coordinates of a point.

For instance, replace x=3:

`\begin{gathered} y=-(1)/(3)x+5 \\ \Rightarrow y=-(1)/(3)(3)+5 \\ =-1+5 \\ =4 \end{gathered}`

When x is equal to 3, y is equal to 4.

Then, plot the points (0,5) and (3,4) and draw a line through them: