Questions: Find the slope and y-intercept of the graph of the equation. y=4/3 x-1 Slope = (Enter a fully reduced fraction.)

$Find the slope and y-intercept of the graph of the equation. y=4/3 x-1 Slope = (Enter a fully reduced fraction.)$

Transcript text: Find the slope and $y$-intercept of the graph of the equation. \[ y=\frac{4}{3} x-1 \] Slope $=$ $\square$ (Enter a fully reduced fraction.)

Solution

Solution Steps

To find the slope and y-intercept of the equation $ y = \frac{4}{3}x - 1 $, we can compare it to the slope-intercept form of a linear equation, which is $ y = mx + b $. Here, $ m $ represents the slope and $ b $ represents the y-intercept. By identifying these components in the given equation, we can determine the slope and y-intercept.

Step 1: Identify the Slope

The given equation is $ y = \frac{4}{3}x - 1 $. In the slope-intercept form $ y = mx + b $, the coefficient of $ x $ represents the slope. Thus, the slope $ m $ is:

\[ m = \frac{4}{3} \]

Step 2: Identify the Y-Intercept

In the same equation, the constant term represents the y-intercept $ b $. Therefore, the y-intercept is:

\[ b = -1 \]