Rewrite the given equation in slope intercept form:
5 y = 10 – 2 x
y = - 0.4 x + 2
Since the two lines are parallel, therefore they have
similar slope which is – 0.4, so the equation is:
y = - 0.4 x + b
Given that x = 5, y = -4, find for b:
-4 = - 0.4 (5) + b
b = -2
So the answer is:
y = - 0.4 x – 2
or
<span>2 x + 5 y = - 10</span>
Since you're only interested in x, you can use the first equation to write an expression for y that can be substituted into the second equation.
.. y = k -x
.. 2x +3(k -x) = k +1
.. -x +3k = k +1 . . . . . collect terms
.. 2k -1 -x = 0 . . . . . . subtract k+1
.. 2k -1 = x . . . . . . . . .add x
The 3rd selection is appropriate.
Any line parallel to y-axis will be x = something
in this case its x = 2
Answer: 1.25
Step-by-step explanation: