Question

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Part 1
Think About the Process  What should you do first to graph the​ equation? Graph the equation.
y equals one half x minus 3
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Part 1
What should you do first to graph the​ equation?
A.
Plot a point at the​ x-intercept.
B.
Plot the point​ (0,0).
C.
Plot a point at the slope.
D.
Plot a point at the​ y-intercept.
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.
.
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Answer 1

Answer: D. Plot a point at the y‑intercept.

Work to graph: y = (1/2)x − 3 is in slope‑intercept form y = mx + b, so b = −3.
- Plot the y‑intercept (0, −3).
- Use the slope m = 1/2 (rise 1, run 2): from (0, −3) go right 2 and up 1 to get (2, −2); another point is (4, −1).
- Draw the line through these points.

(Optional) x‑intercept: set y = 0 → (1/2)x − 3 = 0 → x = 6, so the x‑intercept is (6, 0).