The equation of the perpendicular line in slope-intercept form is: y - 1 = -1/3(x - 6). The correct value is: D. -1/3..
Equation of Perpendicular Lines?
The equation of perpendicular lines have a slopes that are negative reciprocals to each other, and the equation can be expressed in point-slope form as, y - b = m(x - a), where (a, b) is a point on the line and m is the slope.
Given the equation, y = 3x - 8, the slope (m) is 3. Negative reciprocal of 3 is -1/3.
The slope (m) of the perpendicular line to y = 3x - 8 is -1/3.
To write the equation, substitute m = -1/3 and (a, b) = (6, 1) into y - b = m(x - a):
y - 1 = -1/3(x - 6)
The answer is: D. -1/3.
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