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.

Step-by-step 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)  $=\frac{y_1-y_2}{x_2-x_1}$

                                                        $=\frac{-7.5+5}{2+3}$

                                                        $=\frac{2.5}{5}$   $=\frac{1}{2}$

Therefore the equation of line is

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

$\Leftrightarrow y+7.5 =\frac{1}{2}(x+3)$

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

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

$\Leftrightarrow y = 0.5x -6$

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