Respuesta :
Answer: y=(-1/2)x+5.5
Step-by-step explanation:
y=2x+3
This equation is in the slope-intercept form y=mx+b
m is the slope.
b is the y-intercept, the value of y when x=0.
m=2
The slope of the perpendicular line is -1/2.
(y-y1)=m(x-x1)
(y-4)=(-1/2)(x-3)
y-4=(-1/2)x+1.5
add 4 to both sides
4+y-4=(-1/2)x+1.5+4
y=(-1/2)x+5.5
Answer:
y = -1/2x + 2
Step-by-step explanation:
The slope of a perpendicular line will be the opposite reciprocal (opposite sign, and reciprocal)
The line's slope is 2, so the perpendicular line's slope will be -1/2.
Now, we know part of the equation: y = -1/2x + b
Plug in the point given:
5 = -1/2(-6) + b
5 = 3 + b
2 = b
Now, we can plug in b into the equation:
y = -1/2x + 2