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39 votes
39 votes
The equation of line k is y+10=3(x+3).

Perpendicular to line k
is line, which passes through the point (5, -5). What is the
equation of line /?
Write the equation in slope-intercept form. Write the numbers in
the equation as simplified proper fractions, improper fractions, or
integers.

User Fayeure
by
2.9k points

1 Answer

6 votes
6 votes

Answer:

y = x/2 +9/2

Explanation:

Answer:

y = x/2 +9/2

Explanation:

y = -2x - 6.

The equation of the line perpendicular to the above equation has a slope 1/2

The equation of a slope is

y2-y1/x2-x1 = 1/2

To form an equation of the line we chose a point that lies on the graph which is perpendicular to y = -2x - 6 and an arbitrary point (x,y)

A point is given us already and that point is (3, 6).

Tie all together to compute the slope we have;

y-6/x-3 = 1/2

2(y-6) = x-3

2y-12= x-3

2y = x-3+12

2y= x+9

Dividing through by 2 we have

y = x/2 +9/2

y = x/2 + 4.5

User Tauna
by
2.7k points