Question

line n passes through the points (-3, -7.5) and (2, -5). tahlia determined that the equation of line n is y = 0.5x. explain the error tahlia made while determining her equation. be sure to include the correct equation in your explanation

Answer 1

Therefore Tahlia made mistake. Tahlia did not write -6 in her equation.

Explanation:

Given , line n passes through the points (-3,-7.5) and (2,-5)

`x_1 = -3 , y_1=-7.5` and
`x_2 = 2 , y_2=-5`

Therefore the slope of the line is (m)
`=(y_1-y_2)/(x_2-x_1)`

`=(-7.5+5)/(2+3)`

`=(2.5)/(5)`
`=(1)/(2)`

Therefore the equation of line is

`y-y_1=m(x-x_1)`

`\Leftrightarrow y+7.5 =(1)/(2)(x+3)`

`\Leftrightarrow y+7.5 = 0.5x+1.5`

`\Leftrightarrow y = 0.5x+1.5 -7.5`

`\Leftrightarrow y = 0.5x -6`

Therefore Tahlia made mistake. Tahlia did not write -6 in her equation.