Line  j  has a slope of  −  2. line  d  is  perpendicular to line  j  and passes through the point(  −  8  ,  3  ).    write the equation for line  d.

The equation is: y = 1/2x + 7

Step-by-step explanation:

The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).

Use the point slope form of the equation:

y - y1 = m(x - x1)

Substitute:

y - 3 = 1/2(x - (-8))

y - 3 = 1/2x + 4

y = 1/2x + 4 + 3

y = 1/2x + 7

Proof:

Solve for f(x) when x = -8.

f(x) = 1/2x + 7

f(-8) = 1/2(-8) + 7

= -8/2 + 7

= -4 + 7

= 3, giving the point (-8, 3)

the first dot plot best represents the data

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