how to find the slope of the line passing through:
A(a, b) and B(c, d)
y=− 2/3 x+ 1/6 ; A(...; 6), B(9; ...)
how do you solve this too?
To find the slope of the line passing through two points, A(a, b) and B(c, d), you can use the formula:
Slope (m) = (d - b) / (c - a)
Here are the step-by-step instructions:
1. Identify the coordinates of point A as (a, b) and point B as (c, d).
2. Calculate the difference between the y-coordinates (d - b).
3. Calculate the difference between the x-coordinates (c - a).
4. Divide the difference in y-coordinates by the difference in x-coordinates [(d - b) / (c - a)].
5. Simplify the fraction if possible.
6. The resulting value is the slope of the line passing through points A and B.
Note: If the difference in x-coordinates (c - a) is zero, this means that the line is vertical and the slope is undefined.
To find the slope of the line passing through two points, A(a, b) and B(c, d), you can use the formula:
slope = (d - b) / (c - a)
Here's a step-by-step guide on how to find the slope:
1. Identify the coordinates of point A(a, b) and point B(c, d).
2. Write down the formula for slope, which is (d - b) / (c - a).
3. Subtract the y-coordinates (d and b) to find the difference in the vertical direction.
4. Subtract the x-coordinates (c and a) to find the difference in the horizontal direction.
5. Divide the difference in the vertical direction by the difference in the horizontal direction.
6. Simplify the fraction if possible.
7. The result is the slope of the line passing through points A and B.
Remember, the slope represents the rate at which the line is rising or falling as it moves horizontally.