A segment bisector is a line, ray, or segment that divides a line segment into two equal parts. In the triangle formed by points A(-1,7), B(1,2), and
C(7,6), what is the slope of the line that goes through point A and bisects BC?
-3/5 trust me
it's -3/5 lmao
To find the slope of the line that bisects BC, let's start by finding the midpoint of segment BC. The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Applying the formula, we have:
Midpoint of BC = ((1 + 7) / 2, (2 + 6) / 2) = (4, 4)
Now that we have the midpoint, we can find the equation of the line that passes through point A(-1, 7) and the midpoint (4, 4). The slope-intercept form of a linear equation is given by:
y = mx + b
where m is the slope and b is the y-intercept.
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of points A(-1, 7) and (4, 4) into the formula, we get:
m = (4 - 7) / (4 - (-1)) = -3 / 5
Therefore, the slope of the line that goes through point A and bisects BC is -3/5.
The answer is 2/5, regarding to slope.
Hello,
The answer to this question would be 2/5 because you are using the bisects theorem.
find the midpoint of BC
find the slope from the midpoint to A