Question

2.2 slope: problem 5 (1 point) find the slope of the line 2x - 5y = -8. you have attempted this problem 0 times. you have unlimited attempts remaining.

Explanation:

Step1: Rewrite in slope - intercept form

We want to rewrite the equation \(2x - 5y=-8\) in the form \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y - intercept). First, we isolate \(y\).
Subtract \(2x\) from both sides of the equation: \(-5y=-2x - 8\)

Step2: Solve for y

Divide each term in the equation \(-5y=-2x - 8\) by \(-5\).
\(y=\frac{-2x}{-5}+\frac{-8}{-5}\)
Simplify the fractions: \(y = \frac{2}{5}x+\frac{8}{5}\)
In the slope - intercept form \(y = mx + b\), the coefficient of \(x\) (i.e., \(m\)) is the slope. So the slope \(m=\frac{2}{5}\)

Answer:

\(\frac{2}{5}\)