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Nitella [24]
4 years ago
10

What is the slope of a line that is parallel to the line whose equation is 0.5x-5y=9

Mathematics
2 answers:
Tems11 [23]4 years ago
6 0

0.5x - 5y = 9

<u>Make y the subject:</u>

5y = 0.5x - 9

y = 0.1x - 1.8

Match equation with y = mx + b

m = slope = 0.1

Parallel Slope = 0.1

Answer: The slope of the parallel line is 0.1

vovikov84 [41]4 years ago
3 0

The slopes of parallel line are the same.

We have: 0.5x - 5y = 9

Let's transform to slope-intercept form y = mx + b

0.5x - 5y = 9 |-0.5x

-5y = -0.5x + 9 |:(-5)

y = 0.1x - 1.8

Your answer is m = 0.1

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Step-by-step explanation:

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lisov135 [29]

Answer:

y = -3x - 16

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: y - 2 = -3(x + 6)

Slope-intercept form: y = mx + b

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).

To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:

y = mx + b

2 = -3(-6) + b

2 = 18 + b

Subtract 18 from both sides of the equation to isolate b:

2 - 18 = 18 - 18 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = -3x - 16

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3 years ago
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Hope this helps!

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