Question

name: emily wong paz date: 10/07/25 topic 2 test study guide: sections 2.1 - 2.4 section 2 - 1b: slope - intercept form graph the linear equation in slope - intercept 5) $y=\frac{4}{5}x - 1$ $m = \frac{4}{5}, b=(-1)$ $(0, - 1)$

Explanation:

Step1: Identify slope and y - intercept

The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For $y=\frac{4}{5}x - 1$, $m=\frac{4}{5}$ and $b=-1$.

Step2: Plot y - intercept

The y - intercept is the point where the line crosses the y - axis. Since $b = - 1$, plot the point $(0,-1)$.

Step3: Use slope to find another point

The slope $m=\frac{4}{5}=\frac{\text{rise}}{\text{run}}$. From the point $(0,-1)$, move 4 units up (rise) and 5 units to the right (run) to get to the point $(5,3)$.

Step4: Draw the line

Draw a straight line through the points $(0,-1)$ and $(5,3)$.

Answer:

The graph of the line $y=\frac{4}{5}x - 1$ is a straight line passing through the points $(0,-1)$ and $(5,3)$.