Answer:
The correct option is C).
Figure show the line with slope of -1/2 and a y-intercept of 3
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=
![(-1)/(2)x+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qi3d5cawcw6743kf3qfuko306yxaoyz35a.png)
To plot the line we need at least two points
Take x=0
y=
![(-1)/(2)x+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qi3d5cawcw6743kf3qfuko306yxaoyz35a.png)
y=
![(-1)/(2)0+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ieze42tf26dxm9z3erzwd1t4xy59eakvyi.png)
y=3
The required point is A(0,4)
Take x=2
y=
![(-1)/(2)2+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2qstq4n6o1odgfl8xjxhsoxao359axxjce.png)
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).