Graph y=-6x+3

Problem

y=−6*x+3

Solution

1. Identify the equation as a linear function in slope-intercept form, which is y=m*x+b

2. Determine the y-intercept by looking at the constant b which is 3 This corresponds to the point (0,3) on the graph.

3. Determine the slope m which is −6 This means for every 1 unit moved to the right along the x-axis, the graph moves 6 units down along the y-axis.

4. Calculate a second point using the slope. Starting from (0,3) move right 1 and down 6 to reach (1,−3)

5. Plot the points (0,3) and (1,−3) on a coordinate plane and draw a straight line passing through them.

Final Answer

y=−6*x+3

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