Questions: Graph the line with the given slope m and y-intercept b. m=2/3, b=-1

Transcript text: Graph the line with the given slope $m$ and $y$-intercept $b$. \[ m=\frac{2}{3}, \quad b=-1 \]

Solution

Solution Steps

Step 1: Identify the y-intercept

The y-intercept is given as _b_ = -1. This means the line crosses the y-axis at the point (0, -1).

Step 2: Use the slope to find a second point

The slope is given as _m_ = 2/3. Slope is rise over run. Starting at the y-intercept (0, -1), we can find another point on the line by moving up 2 units (rise) and to the right 3 units (run). This leads us to the point (3, 1).

Step 3: Plot the points and draw the line

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

Final Answer:

The line passes through the points (0, -1) and (3, 1).

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Questions: Graph the line with the given slope m and y-intercept b. m=2/3, b=-1

Solution

Solution Steps

Final Answer:

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