What is the slope for (2, -1)(3,4)?
1 answer:
To find the slope, using the coordinates, you will plug them into the slope formula.
Slope formula:
You plug in the 2nd Y-cordinate in y2 and the 1st y-coordinate in y one. Then you do the same thing for the-x coordinates. Plug in the 2nd x-cordinate in x2, and 1st x-cordinate in x1.
You plug in 4 and -1 in the y2 and y1, respectively. Also, you plug in 3 and 2 in x2 and x1 respectively
The equation you're going to get after plugging in is:
4-(-1) is the same as 4+1, so you add them. The subtract 3-2. Then you will end up with the fraction, further solving it will get you your answer.
The answer you will get is 5 after completing all of the steps with the slope formula.
The slope of the line is 5
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The area of the triangle can be found by copying the triangle and putting the bases together such that it forms the diagonals of the triangle.
<h3>What is the area of the triangle?</h3>The area of the triangle is half the product of the height of the triangle and the base of the triangle.
As we know that the area of a rectangle is double the area of a triangle,
therefore, in order to calculate the area of a triangle we need to convert it to a rectangle and then divide the area of the rectangle by 2.
Also, we know that the diagonal of a rectangle divides it into two equal triangles, therefore, we will put the triangle along the diagonal of the base.
Thus, to find the area of the triangle we will copy the triangle and put the base of the together such that it forms the diagonals of the triangle.
Since the triangles are put on each other along the base, therefore, the height(h) of the triangle will be the length of the rectangle, and the breadth of the triangle will be equal to the base of the triangle(b).
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