Question

ПОМОГИТЕ ПЖ СРОЧНО!!! 100 БАЛОВ ЗА ОТВЕТ!!! График функции y=kx проходит через точку A(2;-3). Найдите угловой коэффициент k. Пройдёт ли график этой функции через точку B(4;-5)?

Answer 1

Ответ:

Объяснение:

Если график функции y=kx проходит через точку A(2;-3),

то 2k=-3;k=-3/2=-1,5.

График функции имеет вид y=-1,5x.

Подставим вместо x=4; -1,5*4 = -6 ≠ -5, следовательно график этой функции не проходит через точку B(4;-5)

Answer 2

Finding the Slope (Angular Coefficient)

To find the slope (angular coefficient) of the function y = kx, we can use the fact that the graph passes through point A(2, -3). The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

slope (k) = (y2 - y1) / (x2 - x1)

In this case, point A(2, -3) corresponds to (x1, y1), and we need to find the slope (k) of the line passing through point B(4, -5), which corresponds to (x2, y2).

Let's calculate the slope (k) using the given points:

Point A(2, -3): - x1 = 2 - y1 = -3

Point B(4, -5): - x2 = 4 - y2 = -5

Using the slope formula, we have:

k = (-5 - (-3)) / (4 - 2) = -2 / 2 = -1

Therefore, the slope (angular coefficient) of the function y = kx is k = -1.

Does the Graph Pass Through Point B(4, -5)?

To determine if the graph of the function y = kx passes through point B(4, -5), we can substitute the x and y values of point B into the equation and check if it holds true.

Using the slope (angular coefficient) we found earlier (k = -1), let's substitute the values of point B into the equation:

Point B(4, -5): - x = 4 - y = -5

Substituting these values into the equation y = kx:

-5 = -1 * 4

Simplifying the equation, we have:

-5 = -4

Since -5 is not equal to -4, the graph of the function y = kx does not pass through point B(4, -5).

Therefore, the graph of the function y = kx does not pass through point B(4, -5).

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