How to Graph y = 3/4x + 3

How to Graph y = 3/4x + 3 To graph the equation y = (3/4)x + 3, follow these steps: 1. *Identify the slope and y-intercept:* The equation is in slope-intercept form: y = mx + b. The slope (m) is 3/4, and the y-intercept (b) is 3. 2. *Plot the y-intercept:* The y-intercept is 3, meaning the line crosses the y-axis at (0, 3). Plot the point (0, 3). 3. *Use the slope to find another point:* The slope is 3/4, which means for every 4 units you move to the right (along the x-axis), you move up 3 units (along the y-axis). Starting from the point (0, 3), move 4 units to the right (to x = 4), and then move up 3 units (to y = 6). This gives the point (4, 6). 4. *Plot the second point:* Plot the point (4, 6) on the graph. 5. *Draw the line:* Connect the points (0, 3) and (4, 6) with a straight line. This is the graph of the equation y = (3/4)x + 3. 6. *Check the line's direction:* The line should rise from left to right because the slope is positive. Optional: You can plot more points by repeating step 3 for additional values of x and then drawing the line.