Question

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

Answer 1

Answer:

The slope of the line that is parallel to the given line is $\frac{-7}{4}$

Step-by-step 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 = $\frac{-a}{b}$

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 = $\frac{-a}{b}$

∴ The slope of the line = $\frac{-7}{4}$

∵ Parallel lines have the same slope

∴ The slope of the line that is parallel to the given line is $\frac{-7}{4}$