Question

Graph the lines by finding the points of intersection with the axes (intercepts): y=−6x−2

x-intercept: (_,_)
y-intercept: (_,_)

Answer 1

So, we know the slope equation y = mx + b. The b value represents the y intercept, which is the point where the line intersects the y axis. This means that the x value will always be 0. In this equation, the y-intercept is -2, so the y intercept as an ordered pair is : (0, -2). For the x intercept, there are several ways of doing it. For this problem, we can work backwards. There is a slope of 6 units down for every unit right. Starting from our y intercept, we can do the opposite: 6 units up for every unit left. this means our x intercept is -0.3. As an ordered pair, this is (-0.3, 0).