Question

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? y – 6 = 2(x – 10) y – 2 = (x – 10) y – 3 = (x – 2) y – 3 = 2(x – 10)

Answer 1

The equation is: y - 3 = 1/5 ( x - 10 )

It is in the point-slope form:

y - y1 = m ( x - x1 )

So the point is A ( x1, y1 ) or ( 10, 3 )

Also m = 1/2 ( the slope ). But the new slope is m = 2 and the line goes through the same point.

Now:  m = 2, x1 = 10, y1 = 3

Answer:

The new equation is: D ) y - 3 = 2 ( x - 10 )