Question

kuta software - infinite pre - algebra graphing lines in slope - intercept form sketch the graph of each line. 1) $y = \frac{1}{4}x - 1$

Explanation:

Step1: Identify slope-intercept form

The equation $y = \frac{1}{4}x - 1$ follows $y=mx+b$, where $m$ (slope) $=\frac{1}{4}$ and $b$ (y-intercept) $=-1$.

Step2: Plot the y-intercept

The y-intercept is $(0, -1)$; mark this point on the graph.

Step3: Use slope to find next point

Slope $\frac{1}{4} = \frac{\text{rise}}{\text{run}}$. From $(0,-1)$, move up 1 unit and right 4 units to get the point $(4, 0)$; mark this point.

Step4: Draw the line

Connect the points $(0, -1)$ and $(4, 0)$, then extend the line across the grid.

Answer:

The graph is a straight line passing through points $(0, -1)$ and $(4, 0)$, extending infinitely in both directions along the grid.