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?

Answer 1

`y-3 = 2(x-10)`

Explanation:

Given that Alejandra correctly wrote the equation

`y - 3 = (x - 10)`

to represent a line that her teacher sketched.

This is in point slope form.

Hence the line passes through (3,10) and slope = 1

Now it is given that the teacher then changed the line so it had a slope of 2, but still went through the same point

Using point slope formula we get

`y-3 = 2(x-10)`

is the equation for the same point with slope =2