Question

Find a point on the line and the slope of the line(y+5)=(x+1)

Answer 1

Consider the following equation for a line:

`y+5\text{ = x+1}`

to find the slope of this line, we must transform this equation to the form slope-intercept:

y = mx+b

where m is the slope of the line and b is the y-intercept of the same line.

First, solve the given equation for the variable y:

`\text{y = x+1-5}`

this is equivalent to:

`y=x-4`

then, the slope of this line is:

`1`

now, to find any point on the line, take x=0, and replace it into the equation of the given line:

`y=f(0)=0-4=-4`

thus, one point on the line would be:

`(0,-4)`

so that, the correct answers are:

SLOPE:

`1`

POINT ON THE LINE:

`(0,-4)`