Question

Find slope and y-intercept of the line. Compare the values to the equation y= -x+5

Answer 1

We have a graph of a line.

We have to find the y-intercept and slope.

The y-intercept can be found at the point of intersection between the line and the vertical axis. Is the value of the line when x = 0.

In this case, the y-intercept is b = 5.

For the slope, we need two points. We have the y-intercept at point (0,5) andthe x-intercept of the line at (5,0).

Then, we can calculate the slope m as:

`m=(y_2-y_1)/(x_2-x_1)=(0-5)/(5-0)=-(5)/(5)=-1`

If we write the equation of the line in slope-intercept form, we get:

`\begin{gathered} y=mx+b \\ y=-x+5 \end{gathered}`

We have obtained the same equation that is written in the question.

Answer:

The slope is -1.

The y-intercept is (x,y) = (0,5).