<span><span><span><span>The word "slope" may also be referred to as "gradient", "incline" or "pitch", and be expressed as:
A special circumstance exists when working with straight lines (linear functions), in that the "average rate of change" (the slope) is </span>constant.<span> No matter where you check the slope on a straight line, you will get the same answer.</span> </span></span><span><span><span> Non-Linear Functions:</span>When working with <span>non-linear functions, </span>the "average rate of change" is not constant.
The process of computing the "average rate of change", however, remains the same as was used with straight lines: two points are chosen, and is computed.<span>FYI: </span>You will learn in later courses that the "average rate of change" in non-linear functions is actually the slope of the secant line passing through the two chosen points. A secant line cuts a graph in two points.</span></span></span>
When you find the "average rate of change" you are finding the rate at which (how fast) the function's y-values (output) are changing as compared to the function's x-values (input).
When working with functions (of all types), the "average rate of change" is expressed using<span>function notation.</span>
The vertices of the original quadrilateral can be written in matrix form using the vertex matrix. The vertex matrix is
To find the coordinates of the endpoints or vertices of the image of the given coordinate points reflected about the y-axis, we just need to multiply the transformation matrix by the vertex matrix. The transformation matrix for this particular problem is
Multiplying the two matrices, we have
Therefore, the coordinates of the endpoints or vertices of the image are
(5,4), (1,-1), (3, -6) and (7, -3).
Answer:
-20
Step-by-step explanation:
-3x - 7y = -5
Multiply each side by 4
4(-3x - 7y) = -5*4
-12x -28y = -20
What do you need help with????
It's unlikely. 1/8 is less than 4/8, meaning that 4 /8 is half. So therefore, 1/8 is unlikely for an event to occur.