Question

Through: (2,2), parallel to y=x+4

Answer 1

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

`y = mx + b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have to, if two lines are parallel then their slopes are equal.

Given the line
`y = x + 4`, with slope
`m_ {1} = 1`. A parallel line will have slope
`m_ {2} = 1`and its equation will be of the form:

`y = x + b`

We substitute the given point and find "b":

`2 = 2 + b\\2-2 = b\\b = 0`

Finally, the equation is:

`y = x`

Answer:

`y = x`