Use the slope-intercept form to graph the equation $y=9 x-3$
Use the graphing tool to graph the line. Use the slope and $y$-intercept when drawing the line.
Click to enlarge graph
Finally, we draw a line through the points \((0, -3)\) and \((1, 6)\) to graph the equation \(y = 9x - 3\).
Step 1 :First, we identify the slope and y-intercept from the given equation \(y = 9x - 3\). The slope \(m\) is \(9\) and the y-intercept \(b\) is \(-3\).
Step 2 :Next, we plot the y-intercept on the graph. The y-intercept is the point where the line crosses the y-axis, which is \((0, -3)\).
Step 3 :Now, we use the slope to find another point on the line. Since the slope is \(9\), we can go up 9 units and to the right 1 unit from the y-intercept. This gives us the point \((1, 6)\).
Step 4 :Finally, we draw a line through the points \((0, -3)\) and \((1, 6)\) to graph the equation \(y = 9x - 3\).