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Math
T.28 Write an equation for a parallel or perpendicular line 5SH
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Line q has an equation of y = -x+ 2. Line r includes the point (9, -3) and is parallel to
line q. What is the equation of line r?
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Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.



Answer :

mhanifa

Answer:

  • y = - x + 6

===========================

Given

  • Line q with equation of y = - x + 2,
  • Line r with the point (9, - 3) and parallel to line q.

To find

  • Equation of line r.

Solution

We know parallel lines have equal slopes, so line r has the slope of - 1.

Line r is:

  • y = - x + b, where b- the y-intercept

Substitute the coordinates of the point into this equation and find the value of b:

  • - 3 = - 9 + b
  • b = - 3 + 9
  • b = 6

The equation of line r is:

  • y = - x + 6

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