<h2>
Answer:</h2>
The correct option is: Option: J
3x+8y-16=0
<h2>
Step-by-step explanation:</h2>
We are given a straight line that passes through the points (0,2).
Also we could observe that the line is a decreasing function since the line has a negative slope and positive y-intercept hence we will check from each of the given equation which has a negative slope.
F)
-3x+8y+16=0
on converting this equation to the slope-intercept form.
We observe that the equation takes the form:
y=3/8 x-2
Here slope is: 3/8
and y-intercept is: -2
Hence, option: F is incorrect.
(Since slope is positive and y-intercept is negative)
G)
3x-8y+16=0
on converting this equation to the slope-intercept form.
We observe that the equation takes the form:
y=3/8 x+2
Here slope is: 3/8
and y-intercept is: 2
Hence, option: G is incorrect.
(Since slope is positive )
H)
-3x-8y-16=0
on converting this equation to the slope-intercept form.
We observe that the equation takes the form:
y= -3/8 x-2
Here slope is: -3/8
and y-intercept is: -2
Hence, option: G is incorrect.
(Since y-intercept is negative )
J)
3x+8y-16=0
on converting this equation to the slope-intercept form.
We observe that the equation takes the form:
y= -3/8 x+2
Here slope is: -3/8
and y-intercept is: 2
Hence, it satisfies the property of the line.
Hence, option: J is correct.
