Question

What is the slope of the line parallel to 7x + 4y = -16?

Answer 1

The slope of the line that is parallel to the given line is
`(-7)/(4)`

Explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m =
`(-a)/(b)`

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line =
`(-a)/(b)`

∴ The slope of the line =
`(-7)/(4)`

∵ Parallel lines have the same slope

∴ The slope of the line that is parallel to the given line is
`(-7)/(4)`