Answer: I think (3) is it
Step-by-step explanation:
Answer:
Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Step-by-step explanation:
Given:
Slope = 2 = m ( say )
Let,
point A( x₁ , y₁) ≡ ( -2 , -7 )
point B( x₂ , y₂) ≡ ( 5 , 7 )
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

Or
Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

Substituting the given values in a above equation we get

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Answer:
x = -25
Step-by-step explanation:
25 = -7(x + 5) + 5x
25 = -7x - 25 + 5x
5x - 7x - 25 = 25
5x - 7x - 25 + 25 = 25 + 25
5x - 7x = 50
-2x = 50
-2x/-2 = 50/-2
x = -25
Answer:
- square: 9 square units
- triangle: 24 square units
Step-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
<h3>Square</h3>
The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
<h3>Triangle</h3>
The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
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<em>Additional comment</em>
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.