Question

What is the slope of a line parallel to the line whose equation is 5x -2y = 11?

Answer 1

The slope of the given line and a line parallel to it is `5/2`.

Explanation:

Given:

`5x-2y=11` is the standard form of a linear equation.

A line parallel to this line has the same slope. To determine the slope, solve for `y` to change the equation to slope-intercept form:

`y=mx+b`,

where:

`m` is the slope and `b` is the y-intercept.

`5x-2y=11`

Subtract `5x` from both sides.

`-2y=-5x+11`

Divide both sides by `-2`.

`y=(-5)/(-2)x+11/(-2)`

Simplify.

`y=5/2x-11/2`

The slope of the given line and a line parallel to it is `5/2`.