How are key features of a linear function identified and interpreted from a table, equation, and description?
2 answers:
Key features of a linear function from a table are the ordered pairs which are points on a line.In the equation,the slope of the function which is the rate of change and the y-intercept value are indicated.
Step-by-step explanation:
A linear function can be written in the slope intercept form or a point slope form of a line. Where a table is given for values representing the function, the ordered pairs will represent points on the line.The gradient of the line is a ratio of rise to run from the table values.In slope intercept form, the gradient and initial value of the function are indicated.
For example in a function f(x)=mx+b , m is the gradient of the line and b is the y-intercept value of the function.
To find the slope, m, you divide the difference between y-values by the difference in corresponding x-values of any two points on the line.
A decreasing linear function has a negative slope; if m<0 then f(x)=mx+c is decreasing
An increasing linear function has a positive slope where m>0.
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<h3>Answer:</h3>
(x, y) = (7, -5)
<h3>Step-by-step explanation:</h3>It generally works well to follow directions.
The matrix of coefficients is ...
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)