Graph this line:y–4=5(x–4)

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Sure, here are the steps to graph the line y–4=5(x–4):

Step 1: Rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b

Sure, here are the steps to graph the line y–4=5(x–4):

1. First, we need to put the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. To do this, distribute the 5 on the right side of the equation: y - 4 = 5x - 20.

2. Then, add 4 to both sides to solve for y: y = 5x - 16.

3. Now we can identify the slope and the y-intercept. The slope (m) is 5 and the y-intercept (b) is -16.

4. Start by plotting the y-intercept on the graph. This is the point (0, -16).

5. From this point, use the slope to find the next point. The slope is 5, which means for every 1 unit increase in x, y increases by 5 units. So from the point (0, -16), go right 1 unit and up 5 units to plot your next point.

6. Draw a line through these two points, and extend it in both directions. This is the graph of the line y = 5x - 16.

Sure, here are the steps to graph the line y–4=5(x–4):

Step 1: Rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

y - 4 = 5x - 20 y = 5x - 16

Step 2: Identify the slope (m) and the y-intercept (b). In this case, the slope (m) is 5 and the y-intercept (b) is -16.

Step 3: Plot the y-intercept on the y-axis. The y-intercept is the point where the line crosses the y-axis. So, you will put a point at -16 on the y-axis.

Step 4: Use the slope to find another point on the line. The slope is the rise over the run, which means you go up 5 units (rise) and move to the right 1 unit (run) from the y-intercept.

Step 5: Draw the line that passes through these two points. This line represents the equation y–4=5(x–4).

And that's it! You have graphed the line y–4=5(x–4).