Answer:
or
Step-by-step explanation:
step 1
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
we have

therefore
The slope m of the line parallel to the given line is

step 2
Find the equation of the line in point slope form

we have


substitute
----> equation of the line in point slope form
step 3
Find the equation of the line in slope intercept form

we have
Isolate the variable y
Step-by-step explanation/Answer:
<u><em>The value for h(3) is 1.</em></u>
<u><em>Coordinate (3,1)</em></u>
The value on h(3) is located in the last part of the piecewise function, which starts at (1,3) until (4,0). To know the exact image of h(3), we can find the function that belongs to that piece of line, and then calculated the asked value.
So, to calculate the equation, we first have to find the slope with its definition, and then we'll use the point-slope formula to find the equation:
<u><em>Therefore, the coordinates is (3,1), that is, the value for h(3) is 1.</em></u>
Answer:
The graph for x-2y>=-12 needs to get y aloneso add 2y to both sides to getx >=-12 +2ythen add 12 to both sides of the in equalityx+12 >=2ynext divide each term by 2x/2 + 6 >= yy<= x/2 + 6so the graph connects (0,6) and (2,7) and shade below the solid line