Question

Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the steps of her work using the point-slope form to write the equation. equation In which step did Helena make an error? In step 1, she substituted the x values for y and the y values for x. In step 2, she didn’t use an x and y from the same coordinate pair. In step 3, she solved for the wrong variable. Helena did not make an error.

Answer 1

step 2, she didn’t use an x and y from the same coordinate pair

Explanation:

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Answer 2

In step 2, she didn’t use an x and y from the same coordinate pair

Explanation:

see the attached figure to better understand the problem

we have the points (5, 1) and (3, 5)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute

`m=(5-1)/(3-5)`

`m=(4)/(-2)`

`m=-2`

step 2

The equation of the line in point slope form is

`y-y1=m(x-x1)`

take the point (3,5)

`m=-2`

substitute

`y-5=-2(x-3)`

`y-5=-2x+6`

`y=-2x+6+5`

step 3

`y=-2x+11`

therefore

In step 2, she didn’t use an x and y from the same coordinate pair