Write the equation in slope-intercept form (if possible) and graph the line.

Part:
Part 1 of 2

To write the equation in slope-intercept form (y = mx + b), we need to solve for y. Starting with the equation:

Add 6x to both sides:

Now, the slope (m) is 6, and the y-intercept (b) is 4. This means the line slopes upwards steeply, crossing the y-axis at 4.

To graph this line, start by plotting the y-intercept at (0, 4). From there, use the slope of 6 (which means rise 6, run 1) to find another point: from (0, 4), go up 6 units and 1 unit to the right to (1, 10). Draw the line through these points to complete the graph!

Now, let’s take a look at the importance of graphing equations! By visualizing them, you can see how different linear equations represent relationships between variables. For example, an equation like this could describe a real-world situation, such as predicting profit based on sales volume.

Every equation is a little story waiting to be told. Sometimes, all you need to do is tweak a few numbers or rearrange letters to see how they all connect! Understanding the slope and y-intercept can help unlock these stories, leading you to impressive insights or solutions!