Answer:
The correct option is C).
Figure show the line with slope of -1/2 and a y-intercept of 3
Step-by-step explanation:
The equation of line is given by y=mx+c.
Where m is slope and c is y-intercept.
Given that line has slope
m=
and c=3
Thus equation of line will be
y=mx+c.
y=![\frac{-1}{2}x+3](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7Dx%2B3)
To plot the line we need at least two points
Take x=0
y=![\frac{-1}{2}x+3](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7Dx%2B3)
y=![\frac{-1}{2}0+3](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D0%2B3)
y=3
The required point is A(0,4)
Take x=2
y=![\frac{-1}{2}2+3](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D2%2B3)
y=2
The required point is B(2,2)
Using this points to graph the given equation of line
Figure show the line with a slope of -1/2 and a y-intercept of 3
The correct option is C).