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3 years ago

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

Mathematics

1 answer:

GarryVolchara [31]3 years ago

8 0

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 $\frac{-7}{4}$

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Step-by-step explanation:

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Let's solve the first equation for either x or y. I'll do it for x.

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Now divide by 5.

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Take this value of y and replace it in the first equation to find the value of x.

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Tju [1.3M]

Answer:

y = 6x

Explanation:

This question is asking you to write a linear equation in slope-intercept form, <u>y = mx + b,</u> where m is the slope and b is the y-intercept.

The y-intercept (where the line crosses the y-axis) is visibly 0. As for the slope, you can take two points, I'll use (0,0) and (0.1,0.6) to calculate it.

Slope = y - y/x- x

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