Question

Graph the line with a slope of 1 passing through the point
(1,-5).

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: Is the slope

b: Is the cut-off point with the y axis

According to the data of the statement we have to:

`m = 1`

Then, the equation is of the form:

`y = x + b`

We substitute the point
`(1, -5)` and find "b":

`-5 = 1 + b\\-5-1 =b\\-6 = b`

Thus, the equation is of the form:

`y = x-6`

To graph we substitute the points on the coordinate axis:

`(x, y) :( 0, -6)`

For
`x = 2`:
`y = 2-6 = -4`
`(2, -4)`

For
`x = 10`:
`y = 10-6 = 4`
`(10,4)`

Answer:

`y = x-6`

See attached image