Question

Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.(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?

y – 6 = 2(x – 10)
y – 2 = y minus 2 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.(x – 10)
y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)
y – 3 = 2(x – 10)

Answer 1

y − 3 = 2(x − 10)

Explanation: The original line is in point–slope form y − 3 = (1/5)(x − 10), so it passes through (10, 3). Keeping that point and changing the slope to 2 gives y − 3 = 2(x − 10).