Use point-slope form.
But first let's find the slope.
(4, 2), (2, 4)
m = y2-y1/x2-x1
m = (4 - 2)/(2 - 4)
m = 2/-2
m = -1
So this is the slope, now we can plug this into the equation along with any point.
y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.
Let's plug in point (4, 2):
y - 2 = -1(x - 4)
This can be one of your options.
Distribute -1:
y - 2 = -x + 4
Add 2 to both sides:
y = -x + 6
This can be another of your options.
Add 'x' to both sides:
x + y = 6
This can be another of your options.
Answer:
1/3
1/2
1/6
0
Step-by-step explanation:
The midpoint of the segment shown below is (1, -3/2). Option A) is the correct answer.
<u>Step-by-step explanation</u>:
The two end points of the line segments are (1,2) and (1,-5).
<u>step 1</u> :
Midpoint formula = ((x1 + x2)/2 , (y1 +y 2)/2)
<u>step 2</u> :
(x1, y1) = (1, 2)
(x2, y2) = (1, -5)
<u>step 3</u> :
Substitute the values in the midpoint formula,
Midpoint = ((1 + 1)/2 , (2 -5)/2)
= ((2/2) , (-3/2))
= (1, -3/2)
