1. The problem is to understand the equation of a line given by $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. 2. The formula $y = mx + b$ represents a straight line where: - $m$ is the slope, which tells us how steep the line is. - $b$ is the y-intercept, the point where the line crosses the y-axis. 3. For example, if $m = 6$ and $b = 7$, the equation becomes: $$y = 6x + 7$$ 4. This means for every 1 unit increase in $x$, $y$ increases by 6 units. 5. The line crosses the y-axis at the point $(0,7)$. 6. To graph this line, start at $(0,7)$ on the y-axis, then move right 1 unit and up 6 units to plot the next point. 7. Connect these points with a straight line extending in both directions. Final answer: The equation of the line is $$y = 6x + 7$$.