Questions: Graph the line. y=3/5 x+2

Transcript text: Graph the line. \[ y=\frac{3}{5} x+2 \]

Solution

Step 1: Identify the slope (m) and y-intercept (b)

The given equation is in the form $y = mx + b$, where $m = 0.6$ and $b = 2$.

Step 2: Plot the y-intercept (b) on the graph

The y-intercept is at the point (0, 2). This is where the line crosses the y-axis.

Step 3: Use the slope (m) to determine another point on the line

Using the slope $m = 0.6$, we move from the y-intercept to another point on the line, which is (1, 2.6).

Step 4: Draw a straight line through the two points

By connecting the two points, we graphically represent the equation of the line.

The line with slope $m = 0.6$ and y-intercept $b = 2$ is graphed by connecting the points (0, 2) and (1, 2.6).

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