Question

QUESTION 6

Given A(6, -17), B(-6, 17), C(4, 9), D(-4, 4), the midpoint of which segment is at the origin?

AB

BC

AC

AD
1 points
QUESTION 7

Which is the equation of the line passing through the points A(3, -3) and B(-4, 11)?

y = -6x + 3

y = -2x + 3

y = 9x -3

y = 4x - 9

Answer 1

@Michele_Laino

Answer 2

second part:
I apply this formula:
\[\frac{ y-y _{1} }{ y _{2}-y _{1} }=\frac{ x-x _{1} }{ x _{2}-x _{1} }\]
where (x_1,y_1) and (x_2, y_2) are your points.
so:

Answer 3

\[\frac{ y-(-3) }{ 11-(-3) }=\frac{ x-3 }{ -4-3 }\]

Answer 4

then, after some simplification, we have:
\[y+3=-2(x-3)=-2x+6\]
finally:
\[y=-2x+3\]

Answer 5

ok and #1?

Answer 6

first part:
as usually if we apply the same formula, to find midpoint of a segment given its endpoints, we have:
midpoint AB=(0,0), namely it is the origin of our coordinate system,
midpoint BC=(-1,13),
midpoint AC=(5,-4),
midpoint AD=(1,-13/2)