Question

Write the equation of the line in the slope-intercept form

given the following information: through: (4,-4), parallel to
y = -x - 4*

Answer 1

The equation of line in slope intercept from can be written as:

`y=-x`

where slope = -1 and y-intercept = 0

Explanation:

To find the equation of line with point (4,-4) and parallel to line
`y=-x-4`.

Solution:

The slope-intercept equation of the line is given as :

`y=mx+b`

where
`m` represents slope of line and
`b` represent y-intercept.

The equation of the parallel line given is
`y=-x-4`.

From the equation we can determine the slope of the line by comparing it with general equation.

Thus, slope of the given line is = -1 (co-efficient of
`x` )

Since the line is parallel to the given line, so the equation of line to be found out will have slope =-1 ( Parallel lines have same slopes)

Using point (4,-4) to write the point slope of the equation of line.

`y-(-4)=-1(x-4)` [ As
`y-y_1=m(x-x_1)` ]

Simplifying by using distribution.

`y+4=-x+4`

Subtracting both sides by
`4` to solve for
`y`.

`y+4-4=-x+4-4`

`y=-x`

Thus, the equation of line in slope intercept from can be written as:

`y=-x`

where slope = -1 and y-intercept = 0