Question

What is the slope of a line that passes through the point (−2, 3) and is parallel to a line that passes through (3, 7) and (−2, −8)?

Numerical Answers Expected!

Answer 1

line passing through (3,7) and (-2,-8)
using two point formula
take (x1,y1) = (3,7)
(x2,y2) = (-2,-8)

substitute in the equation

solving it we get

3x-y = 18

given this line is parallel to the line passing through point (-2,3)

as the line is parallel we can say it has same slope

equation of the unknown line is 3x - y = c

to find c substitute the point (-2,3) in the above eqn

3(-2) - 3 = c

c = -9

therefore the eqn of the line is 3x-y = -9