Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
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Original Equation: y - 3 = x - 10
Write in y = mx + c:
y - 3 = x - 10
y = x - 7
⇒ Match y = x - 7 to y = mx + c
⇒ Slope = 1
Rewrite equation with slope = 2:
y = 2x - 7
Answer: The new equation is y = 2x - 7
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