If the images of positive scale function and linear function pass through point m (3,4) If the images of the positive scale function and the first-order function pass through the point m (3,4), and the area between the images of the positive scale function and the first-order function and the Y axis is equal to 15 / 2, the analytic expressions of the two functions are obtained

If the images of positive scale function and linear function pass through point m (3,4) If the images of the positive scale function and the first-order function pass through the point m (3,4), and the area between the images of the positive scale function and the first-order function and the Y axis is equal to 15 / 2, the analytic expressions of the two functions are obtained

The y-axis is the bottom, because the intersection is (3,4)
Let the positive scale function be y = KX 4 = 3K k = 4 / 3
∴y=4/3x
Let y = KX + B be a linear function
The triangle area is 15 / 2
The high is 3, and the positive proportional function is over (0,0)
1/2*3b=15/2
b=5
Y = KX + 5 (3,4)
4=3k+5
k=-1/3
∴y=-1/3x+5

If the image of positive scale function passes through point (3, - 2) and point P (2m, 4) is on this straight line, the value of M is obtained

Let y = KX, then - 2 = 3k, k = - 2 / 3, y = - 2 / 3 · x, so - 4m / 3 = 4, M = - 3

It is known that y is a positive proportion function of X, and its image passes through points a (2,4), B (m, 2) to find the analysis of this positive proportion function and the value of M

It is known that y is a positive proportion function of X, and its image is obtained through points a (2,4), B (m, 2)
Let the resolution of positive proportion function be y = KX
k = 4/2 =2
y = 2x
m = 2÷2 = 1

How to distinguish positive proportional function from linear function?
Just contact positive proportion function and first-order function, can't distinguish

The form of y = KX is a positive proportional function, and the form of y = KX + B is a linear function. In fact, X in the positive proportional function is also a linear function, so the positive proportional function is a special linear function
For example, y = 3x, y = x / 2, y = 0, 12x and so on are all positive proportional functions and linear functions
For example, y = 2x-1, y = 5x + (1 / 2), etc. are all linear functions, but they cannot be called positive proportional functions