Question

Given ∆ABC with A(0,2), B(-2, -4), and C(4,4).
a. Write the equation for the line containing altitude AZ in standard form.
b. Write the equation of the line containing midsegment XZ in standard form, where X is the midpoint of AB and Z is the midpoint of BC.

Answer 1

first find the slope using the given points and using the formula (y2-y1)/(x2-x1)
then put it in point slope interecept form y-y1 = m(x-x1) --m is the slope
simplify ^^
then put it in standard form
standard formula = ax+by = c
midpoint = (x1+x2)/2 , (y1,y2)/2

Answer 2

@ShadyyKatie

Answer 3

im gonna need help I suck at this.

Answer 4

first you need to B, and find the midpoint for X and Z

Answer 5

midpoint formula = (x1+x2)/2 , (y1,y2)/2
to find the X use the points
A (0, 2), and B (-2, -4)
(x1,y1) and (x2,y2)
plug them into the midpoint formula

what will you have ?

Answer 6

midpoint formula = (x1+x2)/2 , (y1+y2)/2*

Answer 7

(0 + (-2))/2 (2 + (-4))/2 right?

Answer 8

yes that's right, now simply that

Answer 9

(0 + (-2))/2 , (2 + (-4))/2
they are separated by a comma

Answer 10

(0 + (-2))/2 = -2/2 = -1
(2 + (-4))/2 = -2/2 = -1

so X has Point (-1,-1)

now use the mid point formula again to find the Points for Z
this time you need to use the points BC as instructed

Answer 11

I got (-1, -1)

Answer 12

now find Z by using the points BC
the same way you found x