Graph the line with slope 2 passing through the point 5, 5.

Sure, here are the steps to graph the line with a slope of 2 that passes through the point (5,5):

Step 1: Plot the given point On your graph paper, plot the point (5,5). This is a point that we know our line will pass through.

Step 2: Use the slope to find another point The slope of a line is the change in y divided by the change in x, often remembered as "rise over run". A slope of 2 means that for every 1 unit we move to the right on the x-axis, we move up 2 units on the y-axis. So, from our point (5,5), if we move 1 unit to the right to x=6, we would move up 2 units to y=7. This gives us another point on the line, (6,7).

Step 3: Draw the line Now that we have two points, (5,5) and (6,7), we can draw a line passing through these points. This line represents the equation of the line with a slope of 2 passing through the point (5,5).

Remember, all points on this line will satisfy the equation of the line, which in slope-intercept form (y = mx + b) is y = 2x - 5.