To graph the equation \(y = 4x + 3\), follow these steps:
Plot the Y-intercept: The y-intercept is 3, so plot the point \((0, 3)\) on the y-axis.
Use the Slope: The slope is 4, which means rise over run is \(4/1\). From the y-intercept, move up 4 units and right 1 unit to plot the next point.
Draw the Line: Connect the points with a straight line that extends in both directions.
This will give you the graph of the equation.