Answer:
"passes through the point (2,8). " . . . passes through the .2, eight." is very awkward, and incorrect.
Explanation:
Let's rewrite "A student writes the equation for a line that has a slope of -6 and passes through the .2, eight" to:
A student writes the equation for a line that has a slope of -6 and passes through (2, 8).
We can write y = -6x + b since we know the slope, m, to be -6.
We know the line goes through point (2,8), so use those values to find b:
y = -6x + b
8 = -6*2 + b for (2,8)
8 = -12 + b
b = 20
The equation is y = -6x + 20
See the attached graph.
It is unclear what word is incorrect. " . . . passes through the .2, eight." is very awkward and should read "passes through the point (2,8).