Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
When
,
.
Solution
To solve the study problem, we need to find the value of
when
using the given equation
.
Let’s substitute
into the equation and solve for
:
Now, divide both sides by -6 to solve for
:
So, when
, the value of
is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To find out if the point
lies on the line described by the equation
, we can rearrange the equation into slope-intercept form and substitute the
and
values of the point into the equation. The line can be expressed as
. When we substitute
, we get
. Since
does not equal
, the point does not lie on the line.
Additionally, if you want to check whether a point lies on a line defined by a linear equation, simply plug the coordinates into the equation. A common mistake is forgetting to maintain the signs or miscalculating the multiplication. Double-checking your calculations can save you from such pitfalls!