Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-1,3);y = 2x - 8

Question

asked Aug 18, 2020 217k views

1 Answer

Noseratio · Answer 1 · 2020-08-24T23:52:40+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 is the slope of the line

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

We have the following line:

y = 2x-8

The slope is
$m_ {1} = 2$

By definition, if two lines are parallel then their slopes are equal. Thus, a line parallel to the given line will have a slope
$m_ {2} = 2$

Therefore, the equation of the parallel line will be of the form:

y = 2x + b

We substitute the given point and find "b":

$3 = 2 (-1) + b\\3 = -2 + b\\3 + 2 = b\\b = 5$

Finally, the equation is:

y = 2x + 5

Answer: