Question

a line has a slope of \\(\frac{5}{3}\\) and a y-intercept of \\(-\frac{2}{3}\\). write its equation in slope-intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by the formula \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the \(y\) - intercept.

Step2: Substitute the given values

We are given that the slope \(m=\frac{5}{3}\) and the \(y\) - intercept \(b =-\frac{2}{3}\). Substituting these values into the slope - intercept form \(y=mx + b\), we get \(y=\frac{5}{3}x-\frac{2}{3}\).

Answer:

\(y=\frac{5}{3}x-\frac{2}{3}\)