Question

question 15
8 pts
if i solve
2x + 5y = 25
for y, i find that m =
and b =

Explanation:

Step1: Isolate the y - term

Start with the equation \(2x + 5y=25\). Subtract \(2x\) from both sides of the equation.
\(5y=- 2x + 25\)

Step2: Solve for y

Divide each term in the equation \(5y=-2x + 25\) by 5.
\(y=\frac{-2x + 25}{5}=\frac{-2}{5}x+5\)
The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. Comparing \(y=\frac{-2}{5}x + 5\) with \(y=mx + b\), we can see that \(m =-\frac{2}{5}\) and \(b = 5\).

Answer:

For \(m\): \(-\frac{2}{5}\)
For \(b\): \(5\)