Question

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?
Skill plans
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

Answer 1

• 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