Question

Alejandra correctly wrote the equation y – 3 =1/5(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?

Answer 1

y - 3 = 2(x - 10)

Explanation:

The equation is in point-slope form (y - y1 = m(x - x1) where (x1, y1) = point on the line, m = slope).

Using the point-slope form, you get the point on the line as (10, 3). We know the slope is 2, so by plugging these into the equation for point-slope form we get:

y - 3 = 2(x - 10)