Question

module 11 (linear equations) assignment
score: 15/20 answered: 15/20
question 16
give the slope and the y intercept of the line -10x - 6y = -5.
slope =

y intercept = (0, )

enter your answers as integers or as reduced fractions in the form a/b.
question help: video
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Explanation:

Step1: Rewrite in slope-intercept form

We start with the equation \(-10x - 6y = -5\). We want to solve for \(y\) to get it in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept. First, we add \(10x\) to both sides:
\(-6y = 10x - 5\)

Step2: Solve for \(y\)

Next, we divide every term by \(-6\) to isolate \(y\):
\(y = \frac{10x}{-6} - \frac{-5}{-6}\)
Simplify the fractions:
\(y = -\frac{5}{3}x + \frac{5}{6}\)

Step3: Identify slope and \(y\)-intercept

From the slope-intercept form \(y = mx + b\), we can see that the slope \(m\) is \(-\frac{5}{3}\) and the \(y\)-intercept \(b\) is \(\frac{5}{6}\).

Answer:

Slope = \(-\frac{5}{3}\)
\(y\) intercept = \((0, \frac{5}{6})\)