What is the slope intercept form?

1 answer:

3 0

For this case, we find the equation of the line of the form:

$y = mx + b$

Where:

$m = \frac {y2-y1} {x2-x1} = \frac {-3-0} {0 - (- 3)} = \frac {-3} {3} = - 1$

So, we have:

$y = -x + b$

We substitute one of the points: $0 = - (- 3) + b\\0 = 3 + b\\b = -3$

Thus, the equation is:

$y = -x-3$

Now, we substitute a point belonging to the region to determine the sign.

( $(0,0)\\0? - (0) -3\\0? -3$

-3 is less than 0.

Then, the inequality is:

$y> -x-3$

As the border of the region is dotted, then it remains ">."

Answer:

$y> -x-3$

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iren2701 [21]

The height of a triangle is 9 cm

<h3>What is Triangle?</h3>

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

given that

let the height of the triangle be x

then the width is x-3

Area = $\frac{height \times length}{2}$