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

the slope is (1/5) for the first equation

new equation will be y - 3 = 2(x - 10)

Answer 2

we know that

1) Alejandra correctly wrote the equation

`y-3=(1)/(5) (x-10)`

in this equation

the slope is equal to

`m=(1)/(5)`

and passes through the point
`(10,3)`

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

`m=2`

and passes through the same point
`(10,3)`

therefore

the equation of the new line is

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

the answer is

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