Question

Beatrice calculated the slope between two pairs of points.

Answer 1

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

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

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between (-3, -2) and (1, 0)

$m=\frac{0+2}{1+3}$

$m=\frac{2}{4}=\frac{1}{2}$

Find the equation of the line

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

with m and the point (1,0)

substitute

$y-0=\frac{1}{2}(x-1)$

$y=\frac{1}{2}x-\frac{1}{2}$

step 2

Find the slope between (-2, -1) and (4, 2)

$m=\frac{2+1}{4+2}$

$m=\frac{3}{6}=\frac{1}{2}$

Find the equation of the line

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

with m and the point (4,2)

substitute

$y-2=\frac{1}{2}(x-4)$

$y=\frac{1}{2}x-2+2$

$y=\frac{1}{2}x$

Compare the equation of the two lines

The two lines are parallel, because their slope is the same, but are different lines

therefore

Beatrice's conclusion is incorrect

All of these points are not on the same line, because are different parallel lines

The slope between (-2,-1) and (1,0) is equal to $\frac{1}{2}$

Answer 2

Answer:

Beatrice is incorrect. All of these points are not on the same line because the slope between (-2, -1) and (1, 0), which are coordinates from each of the pairs above, is not equivalent equal to 1/2

Step-by-step explanation: