Question

Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2

Solution
y=
x =
QUESTION TWO

Find the equation of the line passing through the point (1,−5) and perpendicular to y=18x+2
Solution
y=
x+

Answer 1

The equation of the line would be y = 3x - 10

Explanation:

To find the equation we first need to note that parallel lines have the same slope. So since the original equation has a slope of 3, the new one will as well. Now we can use that slope and the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 4 = 3(x - 2)

y + 4 = 3x - 6

y = 3x - 10