Question

graph the line that has a slope of \\(\frac{6}{5}\\) and includes the point (0, -1). click to select points on the graph.

Explanation:

Step1: Identify y-intercept point

The given point $(0, -1)$ is the y-intercept, so plot this point first.

Step2: Use slope to find next point

Slope $\frac{6}{5}$ means $\frac{\text{rise}}{\text{run}}$. From $(0, -1)$, move 5 right (run) and 6 up (rise):
$x = 0 + 5 = 5$, $y = -1 + 6 = 5$. This gives the point $(5, 5)$.

Step3: Plot and connect points

Plot $(5, 5)$, then draw a straight line through $(0, -1)$ and $(5, 5)$.

Answer:

The line passes through the points $(0, -1)$ and $(5, 5)$; connecting these points creates the required line.