Which equation represents a line which is parallel to the line 2x+y=-8?A. y=− 1/2 x−4B. y=−2x+5C. y=2x+3D. y= 1/2x+2
1 answer:
Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:
Step 1
Write the given equation in slope-intercept form and identify its slope m.
Thus:
Step 2
Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.
Answer
From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is:
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Answer:
Step-by-step explanation:
To solve the question we refresh our knowledge of the quotient rule.
For a function f(x) express as a ratio of another functions u(x) and v(x) i.e
, the derivative is express as
from
we assign u(x)=lnx and v(x)=x^2
and the derivatives
.
Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e
If we substitute values into the quotient expression we arrive at