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Paladinen [302]
3 years ago
13

What is the slope of a line parallel to the line with equation 5x + 3y = 7?

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0

Answer:

-5/3

Step-by-step explanation:

Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.

We convert by using inverse operations to isolate y.

5x+3y=7

5x-5x+3y=7-5x

0x+3y=-5x+7

3y=-5x+7

\frac{3y}{3} =\frac{-5x+7}{3} \\y=\frac{-5}{3}x+\frac{7}{3}.

The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.

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• In plane geometry, a figure which is formed by joining of two lines that share a common point is called as the angle. The two lines or rays are called as the sides of the angle and the common point is called the vertex.

• In geometry there are types of angles such as complementary angles, supplementary angles, acute angle, obtuse angles. Complementary angles are the angles whose sum is equal to 90. Supplementary angles are the angles whose sum is equal to 180.

According to the question

We are given that one angle is -7x and the other angle is -2x

Using formula of supplementary angles

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