Question

The line l cuts the y-axis at (0, 5). l also passes through the point (2, 1). find the equation of the line which is parallel to l and which passes through the point (3, 0).

Answer 1

Answer: $y=-2x+6$

Step-by-step explanation:

The slope of line l is

$\frac{5-1}{0-2}=-2$

Since parallel lines have the same slope, the slope of the line we need to find is -2.

Substituting into point-slope form,

$y=-2(x-3)\\\\y=-2x+6$