Question

Полторацкое на одной координатной плоскости графики функций функций У=4m+5 y=4m-6 y=4m 1) найдите уголовой коэффициент прямых. 2) каково взаимное расположение прямых?

Answer 1

Угловой коэффициент прямых — 4
Из-за одинаковых угловых коэффициентов прямые параллельны

Answer 2

Graphs of the Functions

To answer the question about the graphs of the given functions, we need to understand the equations provided. Let's break them down:

1. У = 4m + 5 2. y = 4m - 6 3. y = 4m + 1

These equations represent three different functions in terms of the variables "У" and "y" with respect to "m".

Finding the Slopes of the Lines

To find the slopes of the lines represented by these functions, we can compare the coefficients of "m" in each equation. The coefficient of "m" represents the slope of the line.

1. The coefficient of "m" in the first equation is 4. Therefore, the slope of the line represented by the first equation is 4. 2. The coefficient of "m" in the second equation is 4. Therefore, the slope of the line represented by the second equation is also 4. 3. The coefficient of "m" in the third equation is 4. Therefore, the slope of the line represented by the third equation is also 4.

Determining the Mutual Position of the Lines

To determine the mutual position of the lines represented by these functions, we need to analyze their slopes and intercepts.

Since all three lines have the same slope of 4, they are parallel to each other. Parallel lines never intersect.

However, to fully determine their mutual position, we also need to consider their y-intercepts. The y-intercept is the value of "y" when "m" is equal to zero.

1. For the first equation, when "m" is zero, "У" is equal to 5. Therefore, the y-intercept of the first line is 5. 2. For the second equation, when "m" is zero, "y" is equal to -6. Therefore, the y-intercept of the second line is -6. 3. For the third equation, when "m" is zero, "y" is equal to 1. Therefore, the y-intercept of the third line is 1.

In conclusion, the three lines represented by the given functions are parallel to each other and have different y-intercepts.