How would you graph the solution to 3x ≤ -15?
2 answers:
Answer: C) Closed circle at -5; shading to the left
The given inequality solves to
when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.
The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say and use an open circle; but that's not the case here.
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Given:
The equation of parallel line is:
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
It means the required line passes through the point (-1,3).
The slope of line is:
The given equation is:
Here, A=3 and B=-2. So, the slope of the line is:
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
Adding 3 on both sides, we get
Therefore, the equation of the required line is .