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The correct answer is (( D )) .
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Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7
and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so
to find the intersection, yo just find when both sentances are correct so
y=7
subsitute that into y=1/2x+6
7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x
so the point (2,7) is the intersection
Answer:
the answer is D
Step-by-step explanation:
Answer:
The correct answer is A.

Step-by-step explanation:
Method 1
You just have to plot each point on the graph.
The one that falls within the solution region is the correct choice.
From the graph,
falls within the solution region.
See graph
Method 2
If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.
The first inequality is

If we substitute
, we get;


This statement is true.
The second inequality is

If we substitute
, we get;

This gives,

This statement is also true.
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>

Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides

Divide both sides by -2

Now, we can identify clearly that the slope of the given line is
since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of
as well. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (-6,-8)

Add 3 to both sides to isolate b

Therefore, the y-intercept is -5. Plug this back into
:

I hope this helps!