Question

write an equation in slope-intercept form for the line with y-intercept -1 and slope $-\frac{4}{3}$.

Explanation:

Step1: Recall slope - intercept formula

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

Step2: Substitute the given values

We are given that the slope \(m=-\frac{4}{3}\) and the \(y\) - intercept \(b = - 1\). Substituting these values into the slope - intercept formula \(y=mx + b\), we get \(y=-\frac{4}{3}x-1\).

Answer:

\(y = -\frac{4}{3}x - 1\)