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Olenka [21]
3 years ago
9

Find the slope of a line parallel to 2x-y=18

Mathematics
2 answers:
True [87]3 years ago
7 0

Answer:

The slope of line parallel to 2x-y = 18 will be 2.

Step-by-step explanation:

Given  

The equation of a line : 2x – y = 18

The standard form of an equation of a line in slope-intercept form is:

y=mx+c

So, we will have to convert the given equation in the standard form.

2x-y=18

-y=-2x+18

-y= -(2x-18)

y=2x-18

The coefficient of x in this form is the slope of the line.

So,

m_1=2

We know that slopes of two parallel lines are equal so if the given line has slope 2, all the lines parallel to this line have slope 2..

yulyashka [42]3 years ago
4 0

For this case, we have by definition, if two lines are parallel then their slopes are equal:

m_ {1} = m_ {2}

We have the following equation:2x-y = 18

We rewrite the equation of the form:

y = mx + b\\2x-18 = y\\y = 2x-18

Thus, a parallel line will have a slope m_ {2} = 2

Answer:

m_ {2} = 2

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