Question

Graph the linear equation with 3 points

Answer 1

The graph in the attached figure

Explanation:

we have

`x-y=1`

To graph the line find the intercepts

step 1

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0

substitute in the linear equation

`0-y=1\\y=-1`

The y-intercept is the point (0,-1)

step 2

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0

substitute in the linear equation

`x-0=1\\x=1`

The x-intercept is the point (1,0)

step 3

Find a third point

Note: It is important to specify that two points are sufficient to draw a line

assume the value of x=5

substitute in the linear equation and solve by y

`5-y=1\\y=5-1\\y=4`

so

The third point is (5,4)

step 4

Plot the points and connect them to graph the line

see the attached figure