Question

Through: (-5,-3), parallel to y=2/5x-2

Answer 1

`y = (2)/(5) x - 1`

Explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient, hence m=
`(2)/(5)`

`y = (2)/(5) x + c`

To find c, substitute a coordinate into the equation.

When x= -5, y= -3,

`- 3 = (2)/(5) ( - 5) + c \\ - 3 = - 2 + c \\ c = - 3 + 2 \\ c = - 1`

Thus, the equation of the line is
`y = (2)/(5) x - 1`