Write the equation of the line in fully simplified slope-intercept form.
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Answer:
y = 4/3x - 3
Step-by-step explanation:
1. Find two pints on the line: ((3,1) and (6, 5).
2. Find the slope: Slope = (change in y-values)/(change in the x-values).
Slope = (5 - 1)/(6 - 3) = 4/3
3. Use the slope and one point and substitute into y = mx + b to solve for "b"
y = mx + b slope = 4/3 and point (3, 1)
1 = 4/3(3) + b 4/3 · 3/1 = 12/3 = 4
1 = 4 + b
1 - 4 = b
-3 = b
4. Write the equation of the line: m = 4/3 and b = -3 Substitute into y = mx + b
y = 4/3x - 3