Question

Consider the equation 2x+5y=1Identify the slope and y intercept

Answer 1

Solution

Given the equation 2x+5y=1

We are required to Identify the slope and y intercept

The general equation of a straight line is in the form y = mx + c

Where m = slope and c= y-intercept

To solve the problem before us, we need to re-write 2x+5y=1 in the form y = mx + c

$\begin{gathered} 2x+5y=1 \\ 5y=-2x+1 \\ y=-\frac{2}{5}x+\frac{1}{5} \\ \\ Comparing\text{ the resulting equation with y=mx+c} \\ m=-\frac{2}{5},\text{ c=}\frac{1}{5} \end{gathered}$

Thus, the slope = -2/5 while the y-intercept is 1/5