Question

Write the slope-intercept form of the equation of the line described by (−4, −5), parallel to y = −2x − 5.

Answer 1

`y = -2x - 13`

Explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

`y = mx + b`

In which m is the slope and b is the y-intercept(value of x when y = 0).

Parallel lines:

If two lines are parallel, they have the same slope.

y = −2x − 5.

This line has slope
`m = -2`, which is the same as the line we want to find, as they are parallel. So

`y = -2x + b`

(−4, −5)

This means that when
`x = -4, y = -5`. We use this to find b. So

`y = -2x + b`

`-5 = -2(-4) + b`

`b = -5 - 8 = -13`

So

`y = -2x - 13`