What is the equation in slope-intercept form?

Use the slope and the -intercept to graph the line.

In slope-intercept form, the equation reveals that the slope (m) is -7 and the y-intercept (b) is 1. This means the line falls steeply, as each increase of 1 in the x-direction corresponds to a decrease of 7 in the y-direction. To start graphing, plot the point (0, 1) on the y-axis, which is where the line crosses, and then use the slope to mark another point by moving down 7 units and right 1 unit to (1, -6).

To ensure your graph is accurate, always double-check that your slope remains consistent. A common mistake is miscalculating the rise over run. Be sure to maintain the direction indicated by your slope; if it’s negative, the line should be heading downwards as it moves from left to right. Happy graphing!