Question

задайте линейную функцию y=kx+bзная два ее значенияy(3)=5y(5)=3y(-2)=y(2)=7объясните

Answer 1

y(3)=5  подставляем вместо x=3 вместо y=5      5=3k+b

y(5)=3  подставляем вместо x=5 вместо y=3      3=5k+b    отнимем др от друга  2=-2k   k=-1

подставим    5=3*(-1)+b     b=8

y=-x+8

 

 

y(-2)=y(2)=7   это условие из другой серии, перепроверь условие?

Answer 2

Linear Function y=kx+b

A linear function is represented by the equation y = kx + b, where: - y is the dependent variable, - x is the independent variable, - k is the slope of the line, and - b is the y-intercept.

Given Values

We have the following values for the linear function: - y(3) = 5 - y(5) = 3 - y(-2) = ? - y(2) = 7

Calculation

To find the values of k and b, we can use the given points to form a system of linear equations. Using the points (3, 5) and (5, 3), we can solve for k and b.

Using the point (3, 5): 5 = 3k + b

Using the point (5, 3): 3 = 5k + b

Solving these equations simultaneously will give us the values of k and b.

Explanation

The linear function y = kx + b represents a straight line on a graph. The value of k determines the slope of the line, which indicates the rate of change of y with respect to x. The value of b represents the y-intercept, which is the point where the line intersects the y-axis.

By finding the values of k and b using the given points, we can determine the specific linear function that passes through these points. This function can then be used to calculate the value of y for any given x.

Let's solve the system of equations to find the values of k and b.