Graph this function:
y = 4/3 x + 5
Click to select points on the graph.
Graph this function: y = 4/3 x + 5 Click to select points on the graph
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Graph this function:
y = 4/3 x + 5
Click to select points on the graph.
To graph the function ( y = frac{4}{3}x + 5 ), we can follow these steps:
1. Identify the slope and y-intercept: The equation is in slope-intercept form ( y = mx + b ), where:
– The slope ( m ) is ( frac{4}{3} ).
– The y-intercept ( b ) is ( 5 ). This means the line crosses the y-axis at the point ( (0, 5) ).
2. Plot the y-intercept: Start by plotting the point ( (0, 5) ) on the graph.
3. Use the slope to find another point: The slope ( frac{4}{3} ) tells us that for every 3 units you move to the right (positive direction on the x-axis), you move up 4 units (positive direction on the y-axis). From the point ( (0, 5) ):
– Move 3 units right to ( (3, 5) ).
– Move up 4 units to ( (3, 9) ). Plot the point ( (3, 9) ).
4. Draw the line: Connect the points you plotted with a straight line extending in both directions.
5. Label your axes: Make sure to label your x-axis and y-axis to complete the graph