Question

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Answer 1

Answer:

The slope of the given line and a line parallel to it is

5

2

.

Explanation:

Given:

5

x

−

2

y

=

11

is the standard form of a linear equation.

A line parallel to this line has the same slope. To determine the slope, solve for

y

to change the equation to slope-intercept form:

y

=

m

x

+

b

,

where:

m

is the slope and

b

is the y-intercept.

5

x

−

2

y

=

11

Subtract

5

x

from both sides.

−

2

y

=

−

5

x

+

11

Divide both sides by

−

2

.

y

=

−

5

−

2

x

+

11

−

2

Simplify.

y

=

5

2

x

−

11

2

The slope of the given line and a line parallel to it is

5

2

.