If the equation of a line is 2x – 3y = 6, find its slope and y-intercept.

Hint:

1. The slope of a line can be defined as the change in y coordinates of any 2 points on that line corresponding to the change in the x coordinates of those 2 points. This is generally referred to as the rise to run ratio of the given line i.e. how much did the y-coordinates rise vis-a-vis how long a distance was covered by the x-coordinates. Slope = m = rise / run = y2-y1 / x2-x1
2. Y-intercept is that point on a line where the line intersects with the y-axis i.e. the point at which x-coordinate is 0.
3. Equation of a line, when its slope and intercept is given can be given as-
y = mx + b