Answer:
The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]
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 = [tex]\frac{-a}{b}[/tex]
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 = [tex]\frac{-a}{b}[/tex]
∴ The slope of the line = [tex]\frac{-7}{4}[/tex]
∵ Parallel lines have the same slope
∴ The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]
