Answer:
B. y = -x - 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.
Plug the slope and the given point into y = mx + b to find b:
y = mx + b
3 = -1(-4) + b
3 = 4 + b
-1 = b
Then, plug this and the slope into y = mx + b
y = -x - 1
So, the correct answer is B, y = -x - 1
Answer:
y = -1/2x +1/2
Step-by-step explanation:
Point B is 4 up and 2 over from point A. So, the midpoint will be 4/2 = 2 up and 2/2 = 1 over, at (1, 0).
The ratio of rise to run between A and B is ...
m = rise/run = 4/2 = 2
The perpendicular line will have a slope that is the opposite reciprocal of this, -1/2.
Then the point-slope equation for the perpendicular bisector is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = -1/2(x -1) . . . .line with slope -1/2 through point (1, 0)
y = -1/2x +1/2 . . . . simplified to slope-intercept form
Answer:
1
Step-by-step explanation: