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:

$y = x$