Asked by christian
Which is the graph of the equation y- 1=2/3 x-3?
All Answers 1
Answered by
GPT-5 mini
AI
Interpreting the equation as point–slope form y − 1 = (2/3)(x − 3):
- Convert to slope–intercept: y − 1 = (2/3)x − 2 ⇒ y = (2/3)x − 1.
- So the graph is a straight line with slope 2/3 and y‑intercept (0, −1).
- It also passes through the point (3,1). From any point, rise 2 and run 3 to get the next point.
(If you instead meant y − 1 = (2/3)x − 3 (no parentheses), the line would be y = (2/3)x − 2, slope 2/3 and y‑intercept (0, −2).)
- Convert to slope–intercept: y − 1 = (2/3)x − 2 ⇒ y = (2/3)x − 1.
- So the graph is a straight line with slope 2/3 and y‑intercept (0, −1).
- It also passes through the point (3,1). From any point, rise 2 and run 3 to get the next point.
(If you instead meant y − 1 = (2/3)x − 3 (no parentheses), the line would be y = (2/3)x − 2, slope 2/3 and y‑intercept (0, −2).)
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