Math Problem Solver

The graph of $x = \frac{1}{1 - 2.257} \left(\ln\left( \frac{0.236}{0.0783} \right) + α \ln\left( \frac{1 - 0.236}{1 - 0.0783} \right)\right)$ is a line.

The x-intercept is $- \frac{1000 \log{\left(\frac{2360}{783} \right)}}{1257}$.

The α-intercept is $- \frac{\log{\left(\frac{2360}{783} \right)}}{\log{\left(\frac{7640}{9217} \right)}}$.

The slope of the line is $- \frac{1257}{1000 \log{\left(\frac{7640}{9217} \right)}}$.

The slope-intercept form of the line is $α = x \left(- \frac{1257}{1000 \log{\left(\frac{7640}{9217} \right)}}\right) - \frac{\log{\left(\frac{2360}{783} \right)}}{\log{\left(\frac{7640}{9217} \right)}}$.

The line in standard form is $1 x + α \frac{1000 \log{\left(\frac{7640}{9217} \right)}}{1257} + \frac{1000 \log{\left(\frac{2360}{783} \right)}}{1257} = 0$