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

The question which ask to select among the choices the equation that Alejandria should write to represent the new line where as the equation she wrote is y-3=x-10 and the answer would be that the form in this equation is y=x-13 and if the slope is 2 then it is y=2x-13

Answer 2

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

Explanation:

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.

`y - 3 = (x - 10)`

Given equation is in the form of
`y-y1=m(x-x1)`

`y - 3 = 1(x - 10)`

slope m =1 in the given equation

The teacher then changed the line so it had a slope of 2

so change the slope 1 to slope 2

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