Find the equation of line b described below, in slope-intercept form Line a is perpendicular to line b
Line a passes through the points (1,-8) and (9,-12)
Line b passes through the point (-8, -16)
The equation of line b is y=

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

Product of slopes of two perpendicular lines is -1.

Slope of line b is 2.

If a line passing through a point with slope m, then equation of line is

Line b passing through (-8,-16) with slope 2. So, equation of line b is

Subtract 16  from both sides.

Therefore, the equation of line b is .

most likely linear (proportionate)

step-by-step explanation:

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