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 = …

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asked Nov 4, 2020 114k views

2 Answers

Nned · Answer 1 · 2020-11-08T18:51:47+0000

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

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