Theequationoflinesis

Question

y
=
–5
3
x
+
2
3
. Line
tisparalleltoline
s . What
istheslopeofline
t ?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

The equation of the line is given as:

\[ y = -\frac{5}{3}x + \frac{2}{3} \]

From this equation, we can identify the slope of the line, which is \(m = -\frac{5}{3}\).

Since line \(t\) is parallel to line \(s\), it will have the same slope. Therefore, the slope of line \(t\) is also:

\[ -\frac{5}{3} \]

Therefore, the slope of line \(t\) is \(-\frac{5}{3}\).