Answer/Step-by-step explanation:
3
y + 5 = ( - ) ------- (x - 8)
4
3
y + 5 = ( - ) ------- x + 6
4
3
y + 5 = ( - ) ------- x + 6
-5 4 -5
3
y = ( - ) ------- x + 1
4
m = slope = (-3/4)
b = y-intercept = (0, 1)
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The student's first error was in step 1.
Step 1 should involve plotting a point at (0, 1).
Step 2 should involve plotting a point 3 units down and 4 units right from the point in step 1, at (4, -2).
Step 3, connecting the points with a line was correct.
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I hope this helps!