Question

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

Answer 1

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`

Answer 2

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

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..