Question

Составьте линейное уравнение с двумя переменными график которого проходит через точки m(6;0) и K(0;6) плз помогите

Answer 1

Линейное уравнение имеет вид у = к х + b(*)
Чтобы написать уравнение, надо вычислить к и b
Подставим значения х и у  в уравнение (*)
0 = 6 к + b
6 = 0k + b
Из 2 уравнения сразу находим b
b=6.
 Подставим b в 1 уравнение
0 = 6 к +6
6k = - 6
 k = -1
Теперь уравнение (*) готово
у = -1х +6

Answer 2

Linear Equation with Two Variables

To find the equation of a line that passes through the points M(6,0) and K(0,6), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where: - m is the slope of the line, and - b is the y-intercept of the line.

To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Let's calculate the slope first:

m = (6 - 0) / (0 - 6) = 6 / -6 = -1

Now that we have the slope, we can substitute it into the slope-intercept form and use one of the given points to find the y-intercept (b).

Using the point M(6,0):

0 = -1 * 6 + b

Simplifying the equation:

0 = -6 + b

b = 6

Therefore, the equation of the line that passes through the points M(6,0) and K(0,6) is:

y = -x + 6.

I hope this helps! Let me know if you have any further questions.