Question

What is the equation of the line described below written in slope-intercept form? the line passing through point (2, 4), parallel to the line whose equation is y = x y = -x y = x + 2 y = -x + 2

Answer 1

y=x+2

Explanation:

Answer 2

For this case we have that by definition, the equation of a line in 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

By definition, if two lines are parallel then their slopes are equal.

If we have the following line:

`y = x`

Whose slope is
`m_ {1} = 1`

So, a line parallel to it has a slope
`m_ {2} = 1`

Therefore, the equation is of the form:

`y = x + b`

If the line passes through point
`(2,4),` we can substitute in the equation and find "b":

`4 = 2 + b\\4-2 = b\\b = 2`

Finally, the equation is:

`y = x + 2`

ANswer:

`y = x + 2`