Alejandra correctly wrote the equation y minus 3 is equal to 1 fifth times open paren x minus 10 close paren 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?
Answer
A
y minus 3 is equal to 1 fifth times open paren x minus 2 close paren
B
y minus 2 is equal to 1 fifth times open paren x minus 10 close paren
C
y minus 6 is equal to 2 times open paren x minus 10 close paren
D
y minus 3 is equal to 2 times open paren x minus 10 close paren
Explanation
The equation is in point-slope form, y − y₁ = m(x − x₁). The original equation shows the line passes through (10, 3). Keeping that same point and changing the slope to 2 gives y − 3 = 2(x − 10), which is choice A.
AI-written and checked against the verified answer.