Question

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

Answer 1

The error is -6  

Step-by-step explanation:

If a line passes through  the points  $(x_1,y_1)$  and $(x_2,y_2)$

Then the equation of line is

$\frac{x- x_1}{x_1-x_2} =\frac{y-y_1}{y_1-y_2}$

Here given points are (-3,-7.5) and (2,-5)

Then the equation of the line is

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

⇔$\frac{x+3}{-5} =\frac{y+7.5}{-2.5}$

⇔2.5(x+3) = 5(y+7.5)

⇔(x+3)= 2(y+7.5)

⇔x+ 3 = 2y +15

⇔2y = x+3-15

⇔y = $\frac{x-12}{2}$

⇔y = 0.5 x -6

The error is -6