How do I solve this out??
1 answer:
<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)
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Linear function rule in terms of x and y for this line is y = x + 12
<em><u>Solution:</u></em>
Given that a line goes through the points (4, 16) and (7, 19)
To find: linear function rule in terms of x and y for this line
A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the slope of the line, and b represents the y-axis intercept
<em><u>The slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
Let us first find slope of line
<em><u>The slope "m" of a line is given as:</u></em>
Thus the slope of line is 1
Substitute m = 1 and (x, y) = (4, 16) in y = mx + c
16 = 1(4) + c
c = 16 - 4 = 12
Substitute c = 12 and m = 1 in slope intercept form
y = 1x + 12
y = x + 12 is the required linear function rule