Question

Graph the equation using the point and the slope.

y-5= 1/5
​(x-5​)
Use the graphing tool to graph the equation. Use the point contained in the equation when drawing the line.

Answer 1

The graph in the attached figure

Explanation:

we have the equation of the line in point slope form

`y-5=(1)/(5)(x-5)`

where

the point is (5,5)

the slope is m=1/5

Remember that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

To graph the line

1. Plot the point (5,5).

2. From that point, count right 5 units and up 1 unit and plot a second point.

3. Draw a line through the two points

so

The new point is (5+5,5+1) ----> (10,6)

Plot the points (5,5) and (10,6) and draw a line through the two points

The graph in the attached figure