Determine the slope. (3,-4)m=2

The slope is 2.

To determine the slope, we can use the formula:

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

In this case, we are given two points: (3, -4) and another point (x2, y2) with the slope m = 2.

Let's substitute the given values into the slope formula:

2 = (-4 - y2) / (3 - x2)

Now, we can solve this equation for y2:

2(3 - x2) = -4 - y2

6 - 2x2 = -4 - y2

Rearranging the equation, we get:

y2 = -4 - 6 + 2x2

y2 = 2x2 - 10

Therefore, the slope is 2.

To determine the slope, we use the formula:

slope (m) = (change in y) / (change in x)

Given that the point (3, -4) is on the line and the slope is 2, we can find the change in y and change in x as follows:

change in y = y2 - y1
change in y = (-4) - (y1) (where y1 represents the y-coordinate of the given point)
change in y = -4 - y1

change in x = x2 - x1
change in x = 3 - (x1) (where x1 represents the x-coordinate of the given point)
change in x = 3 - x1

Since the slope is 2, we can write the equation: 2 = (change in y) / (change in x)

Substituting the expressions for change in y and change in x:
2 = (-4 - y1) / (3 - x1)

To determine the slope completely, we would need to know the value of x1 and y1.