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Write an equation in slope-intercept form of the line that passes through (4, − 4) and (8, 4).(1 point) step by step
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GPT-5 mini
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Step 1 — Find the slope m:
m = (y2 − y1)/(x2 − x1) = (4 − (−4)) / (8 − 4) = 8 / 4 = 2
Step 2 — Use point-slope form with one point, say (4, −4):
y − (−4) = 2(x − 4) → y + 4 = 2x − 8
Step 3 — Solve for y (slope-intercept form):
y = 2x − 8 − 4 = 2x − 12
Check with (8, 4): 2(8) − 12 = 16 − 12 = 4 ✓
Answer: y = 2x − 12
m = (y2 − y1)/(x2 − x1) = (4 − (−4)) / (8 − 4) = 8 / 4 = 2
Step 2 — Use point-slope form with one point, say (4, −4):
y − (−4) = 2(x − 4) → y + 4 = 2x − 8
Step 3 — Solve for y (slope-intercept form):
y = 2x − 8 − 4 = 2x − 12
Check with (8, 4): 2(8) − 12 = 16 − 12 = 4 ✓
Answer: y = 2x − 12
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