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 of the line in your explanation

Answer 1

Answer:

oh it looks like she messed up on trying to do slope intercept form cause it should be y=mx+b = (y=.5x-6) not y=.5x hope this helped

Answer 2

Answer:

Correct answer is y =0.5x-6

Tahlia made the error of not including the intercept -6 in the equation.

Step-by-step explanation:

Given that a line n passes through two points (-3, -7.5) and (2, -5)

Let these points be (x1,y1) and (x2,y2)

Using two point formula for straight linees, equation of straight line is

$\frac{x-x1}{x2-x1} =\frac{y-y1}{y2-y1} \\Substitute the values\\\frac{x+3}{2+3} =\frac{y+7.5}{-5+7.5} \\x+3 = 2(y+7.5)\\x-2y = 12\\Or y = 0.5x-6$

Thus we get the line has slope = 0.5 and y intercept =-6

But Tahlia arrived the answer as slope =0.5 and y intercept =0

Because her y intercept part is wrong, the equation is not correct.