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?

The equation of new line is (y-3)=2(x-10).

Step-by-step explanation:

If a line passing through the point (x₁,y₁) with slope m, then the point slope form of the line is

It is given that Alejandra correctly wrote the equation

Here,

It means the slope of the line is 1 and the line passing through the point (10,3).

The teacher then changed the line so it had a slope of 2, but still went through the same point.

Now the slope of line is 2 and the line passing through the point (10,3). So the point slope form of the line is

Therefore the equation of new line is (y-3)=2(x-10).