1 Answer

Alan Bosco · Answer 1 · 2021-12-01T08:28:34+0000

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 the following points through which the line passes:

$(x_ {1}, y_ {1}) :( 0, -7)\\(x_ {2}, y_ {2}) :( 5,12)$

Thus, the slope of the line is:

$m = \frac {y- {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {12 - (- 7)} {5-0} = \frac {12 + 7 } {5} = \frac {19} {5}$

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:

$y = \frac {19} {5}x + b$

Answer:

$y = \frac {19} {5}x + b$

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