Questions: Graph the line with the given slope m and y-intercept b. m=2/3, b=-3

Transcript text: Graph the line with the given slope $m$ and $y$-intercept $b$. \[ m=\frac{2}{3}, \quad b=-3 \]

Solution

Solution Steps

Step 1: Identify the y-intercept

The y-intercept is given as $b = -3$. This means the line crosses the y-axis at the point (0, -3).

Step 2: Use the slope to find another point

The slope is given as $m = \frac{2}{3}$. This means that for every 3 units we move to the right along the x-axis, we move 2 units up along the y-axis. Starting from the y-intercept (0, -3), if we move 3 units to the right and 2 units up, we arrive at the point (3, -1).

Step 3: Draw the line

Plot the two points (0,-3) and (3, -1) on the graph. Draw a straight line passing through these two points.