<u>ANSWER:</u>
The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)
<u>SOLUTION: </u>
Given, the midpoint of AB is M(-5,1).
The coordinates of A are (-4,-5),
We need to find the coordinates of B.
We know that, mid-point formula for two points A and B
is given by
Here, in our problem,
Now, on substituting values in midpoint formula, we get
On comparing, with the formula,
Hence, the coordinates of b are (-6, 7).
The inequality described can be written as:
y < 3x + 2.
<h3>How to get the inequality?</h3>First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:
y < line.
The linear equation is of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:
And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:
y < 3x + 2.
If you want to learn more about inequalities:
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