Question

graph the line with the equation $y = \frac{6}{5}x - 2$.

Explanation:

Step1: Identify slope and y-intercept

The equation is in slope-intercept form $y = mx + b$, where $m = \frac{6}{5}$ (slope) and $b = -2$ (y-intercept).

Step2: Plot y-intercept

The y-intercept is $(0, -2)$. Mark this point on the graph.

Step3: Use slope to find next point

Slope $\frac{6}{5}$ means rise 6, run 5. From $(0, -2)$, move 5 units right to $x=5$, then 6 units up to $y=-2+6=4$. The next point is $(5, 4)$.

Step4: Draw the line

Connect $(0, -2)$ and $(5, 4)$ with a straight line, extending it in both directions.

Answer:

The line is graphed using its slope and y-intercept.