Answer:
(D)
Step-by-step explanation:
From the figure, we have
The coordinates of the point F are: (-4,1).
The coordinates of the point G are: (0,-2)
The coordinates of the point J are: (0,4) and
The coordinates of the point H are: (-4,-2).
Now, the slope of the line FG is :



And, the slope of the line HJ is:



Now, 

which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.
Answer:
The line equation in slope-intercept form is:

Hence, option D is true.
Step-by-step explanation:
Given the points
Finding the slope between the points




As the y-intercept is obtained by setting the value x = 0.
As we know that when x = 0, the vale of y-intercept y = 4
so the y-intercept is b = 4.
As the slope-intercept form is
substituting the slope m = -2/5 and the y-intercept b=4


Therefore, the line equation in slope-intercept form is:

Hence, option D is true.
solve for x.
4x−5=7+4y
Add 5 to both sides.
4x−5+5=4y+7+5
4x=4y+12
Divide both sides by 4.
4x/4=4y+12/4
x=y+3
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Have a nice day! :)
the answer is 4/3 fraction form