Graph the line with slope 34 and y-intercept −9.

Sure, here are the steps to graph the line with a slope of 34 and a y-intercept of -9:

Step 1: Draw the axes Start by drawing a horizontal line to represent the x-axis and a vertical line to represent the y-axis. Make sure they intersect at a 90-degree angle.

Step 2: Plot the y-intercept The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is -9. So, find -9 on the y-axis and put a dot there.

Step 3: Use the slope to find another point The slope of a line is the rise over the run. In this case, the slope is 34, which means for every 1 unit you move to the right on the x-axis, you move up 34 units on the y-axis. From the y-intercept, count 1 unit to the right and 34 units up. Put a dot there.

Step 4: Draw the line Finally, draw a straight line that passes through the two points you plotted. This line represents the equation of the line with a slope of 34 and a y-intercept of -9.