Answer: y = (-1/2)x + 8.5
Step-by-step explanation:
A line perpendicular would have a slope that is the negative reciprocal of the given equation.
In this case, the slope is 2, so the perpendicular equation's slope would be -1/2.
We plug in (1, 8) to find b, or the y intercept.
8 = (-1/2)(1) + b
b = 8.5
So the equation would be:
y = (-1/2)x + 8.5
Answer: Choice C) y = 2x
The line goes through the origin, so the y intercept is b = 0
The slope is rise/run = 2/1 = 2 because we go up 2 units for every unit we go to the right. This is why m = 2.
Plug m = 2 and b = 0 into the slope intercept form to go from y = mx+b to y = 2x+0, which is the same as y = 2x.
Answer:
y = - 3x - 22
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x + 1 ← is in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 6, - 4) into the partial equation
- 4 = 18 + c ⇒ c = - 4 - 18 = - 22
y = - 3x - 22 ← equation of perpendicular line