Write the equation of the line in the slope-intercept form
given the following information: through: (4,-4), parallel to
y = -x - 4*

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

where slope = -1 and y-intercept = 0

Step-by-step explanation:

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

Solution:

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

where represents slope of line and represent y-intercept.

The equation of the parallel line given is .

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 )

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.

    [ As ]

Simplifying by using distribution.

Subtracting both sides by to solve for .

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

where slope = -1 and y-intercept = 0

18.75 gallons

step-by-step explanation: