If a line has slope and intercept then the equation of this line is . This formula is an implication of the point-slope formula. The intercept tells us that the lline passes through the point . Then by using the point-slope the equation of the line is that simplifies to . One advantage of the slope-intercept form is that we can easily graph the line if the equation in the slope-intercept is given. For example we have an equation of a line . We can read from the coefficient of that the slope is and also we can read from the constant term that the intercept is . Now to draw the graph of this line we just need to mark the point and then draw a straight line with slope 3.

The videos below will give you an example of how to find an equation in the slope-intercept form and also will teach you how to use this information to draw the graph of the line