Question

What is the equation of the line written in general form?




-3x - y + 2 = 0
3x - y - 2 = 0
3x + y - 2 = 0

Answer 1

From the graph we can see the y-intercept (that is, where the graph cuts the y-axis) b = -2. We can also find the slope of the line m from the graph. Slope = rise / run = 6/2 = 3
(for the slope, start from the point where it cuts the y-axis, take 2 units to the right and see how much up we will have to go to get to the line and you will see the run = 2 and rise = 6 and so the slope is 3).
y = mx + b
y = 3x - 2
Add -y to both sides:
0 = 3x - y - 2
or 3x - y - 2 = 0