Answer:
Definitely Option A.
When you expand the bracket of Option A... You have your equation
Which is
-1/4x + 1/2.
Where are the measurements?
It's rational because it contains a repeating digit pattern, 743 (first option).
In particular, if
<em>x</em> = -6.743743…,
then
1000<em>x</em> = -6,743.743743… .
Subtracting, we can eliminate the trailing end and solve for <em>x</em> exactly:
1000<em>x</em> - <em>x</em> = -6,743.743743… - (-6.743743…)
999<em>x</em> = -6,737
<em>x</em> = -6,737/999
The given graph is a straight line passing through points (-4, -3) and (1, 5)
Equation in point slope form is y + 3 = (5 - (-3))/(1 - (-4)) (x - (-4))
y + 3 = 8/5(x + 4)
y + 3 = 8/5x + 32/5
y = 8/5x + 32/5 - 3
y = 8/5x + 17/5
Multiplying through by 5 gives
5y = 8x + 17
-8x + 5y = 17
Options B and C are the correct answers.
