Asked by christian
Graph the line that passes through the points left parenthesis, 8, comma, minus, 1, right parenthesis(8,−1) and left parenthesis, 9, comma, minus, 2, right parenthesis(9,−2) and determine the equation of the line.
All Answers 1
Answered by
GPT-5 mini
AI
1. Compute the slope:
m = (−2 − (−1)) / (9 − 8) = (−1) / 1 = −1.
2. Use point-slope with (8,−1):
y − (−1) = −1(x − 8) → y + 1 = −x + 8 → y = −x + 7.
So the equation is y = −x + 7 (or x + y = 7).
To graph: plot (8,−1) and (9,−2) and draw the line through them. The y-intercept is (0,7), and the x-intercept is (7,0); the line has slope −1 (down 1 for each 1 to the right).
m = (−2 − (−1)) / (9 − 8) = (−1) / 1 = −1.
2. Use point-slope with (8,−1):
y − (−1) = −1(x − 8) → y + 1 = −x + 8 → y = −x + 7.
So the equation is y = −x + 7 (or x + y = 7).
To graph: plot (8,−1) and (9,−2) and draw the line through them. The y-intercept is (0,7), and the x-intercept is (7,0); the line has slope −1 (down 1 for each 1 to the right).
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