The equation of the line that passes through the given points (-6, -9) and (-8, -1) in fully simplified point-slope form is y + 9 = -4(x + 6).
The point-slope form can be defined as an equation which is used when the slope of a line and one of the points on this line is known.
Mathematically, the point-slope form of a line is given by:
y - y₁ = m(x - x₁)
Where:
Next, we would determine the slope by using tis formula:
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (-1 - (-9))/(-8 - (-6))
Slope, m = 8/-2
Slope, m = -2.
Thus, the equation of the line that passes through the given points (-6, -9) and (-8, -1) in fully simplified point-slope form is given by:
y - (-9) = -4(x - (-6))
y + 9 = -4(x + 6).
Read more on point-slope form here: brainly.com/question/24907633
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