The equation of the line is y = (-2/3)x + 6 if the line has a slope of -2/3 and passes through the point (–3, 8) option (A) is correct.
A straight line is a combination of endless points joined on both sides of the point.
The correct options are:
y=-2/3x + 6
y=2/3x + 8
y=6x-2/3
y=8x-2/3
We have:
A line has a slope of -2/3 and passes through the point (–3, 8).
As we know, the slope-point form of a line is:
(y - y1) = m(x - x1)
m = -2/3
x1 = -3
y1 = 8
Plug the above values in the equation:
(y - 8) = (-2/3)(x - (-3))
(y - 8) = (-2/3)(x + 3)
3(y - 8) = -2(x + 3)
3y - 24 = -2x - 6
3y = -2x - 6+24
3y = -2x + 18
y = (-2/3)x + 6
Thus, the equation of the line is y = (-2/3)x + 6 if the line has a slope of -2/3 and passes through the point (–3, 8) option (A) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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