x-intercept 0.4 y-intercept 0.3 How you solve for 1/f ?
To solve for 1/f with given x-intercept and y-intercept values, we need to understand the relationship between x-intercept, y-intercept, and the variable f.
The x-intercept refers to the point where the graph of the equation intersects the x-axis. In this case, the x-intercept is 0.4, which means that when y = 0, the corresponding x-value is 0.4.
The y-intercept refers to the point where the graph intersects the y-axis. In this case, the y-intercept is 0.3, which means that when x = 0, the corresponding y-value is 0.3.
To find the value of 1/f, we can make use of these intercepts and the equation of a straight line.
The equation of a straight line can be written as y = mx + b, where m is the slope of the line and b is the y-intercept.
From the given information, we know that the y-intercept is 0.3, so we can use this to write the equation as y = mx + 0.3.
We also know that the x-intercept is 0.4, which means that when y = 0, the corresponding x-value is 0.4. Substituting these values into the equation, we get:
0 = m * 0.4 + 0.3.
Simplifying the equation, we have:
0 = 0.4m + 0.3.
To solve for m, we need to isolate it on one side of the equation. Subtracting 0.3 from both sides, we have:
-0.3 = 0.4m.
Dividing both sides by 0.4, we get:
m = -0.3 / 0.4.
Now that we have the slope (m) value, we can find 1/f. The slope of a line is defined as the change in y divided by the change in x. In other words, m = Δy / Δx.
In this case, Δy = 0 - 0.3 (change in y when x changes from 0 to 0.4) and Δx = 0.4 - 0 (change in x). So, m = (0 - 0.3) / (0.4 - 0), which simplifies to -0.3 / 0.4.
Thus, 1/f = -0.3 / 0.4.