parallel line equation of the line

Question

Write an equation of the line that passes through the
given point and is parallel to the given line.

(-3,-5);y=-5x-1

Answer 1

Slope - intercept form line equation is y = mx + b, where m is slope and b is y - intercept.

The line equation is y = - 5x - 1.

Comapare the equation with slope - intercept form.

Slope (m) = - 5

Because the parallel lines have same slopes, the slope of parallel line through the point (- 3, - 5) is - 5.

Now the parallel line equation is y = - 5x + b.

Find the y - intercept by substituting the point in the parallel line equation say (x, y) = (- 3, - 5).

- 5  = (- 5)(- 3) + b

b = - 5 - 15

⇒ b = - 20.

The parallel line equation is y = - 5x - 20.