The equation for line c can be written as y=-(6)/(7)x-1 . Line d is parallel to line c and passes (10,-9) . What is the equation of line d? Write the in slope-form. Write the numbers in th as simplified proper fractions,r fractions,or integers. square

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Answer 1

To find the equation of line d, we need to use the slope-intercept form of a linear equation, which is given by:

where

is the slope and

is the y-intercept.Since line d is parallel to line c, it will have the same slope as line c. The slope of line c is given by:

Now, we need to find the y-intercept (

) of line d. We know that line d passes through the point \((10, -9)\). We can use this point to find the y-intercept by substituting the values of

and

into the slope-intercept form:

Simplify the equation:

To isolate

, we need to add

to both sides of the equation:

Convert

to a fraction with a denominator of 7:

Now add the fractions:

So, the y-intercept of line d is

.Now we can write the equation of line d in slope-intercept form:

Therefore, the equation of line d is:

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