Graph y=-2x+3

Problem

y=−2*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 from the constant term b=3 which corresponds to the point (0,3)

3. Determine the slope from the coefficient m=−2 which means the line falls 2 units for every 1 unit it moves to the right.

4. Calculate a second point by starting at (0,3) and applying the slope: (0+1,3−2)=(1,1)

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

Final Answer

y=−2*x+3

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