Slope = rise/run
Graphs of lines may also cross the y-axis at any point. The y-coordinate of such a point is called the y-intercept. We can use both the slope and y-intercept to write an equation of the line.
y = mx + b
In this equation, m is the slope and b is the y-intercept. This general form of the equation of a linear function is called the slope-intercept form. We can also write an equation without using the y-intercept as long as we know at least one point that lies on the line.
The equation of a nonvertical line with slope m that passes through the point ( x_1, y_1 ) is as follows.
y - y_1 = m( x - x_1)
Since we are using both the slope and a point on the line, we call this form the point-slope form. Finally, we can complete the given sentence.
The form of a linear equation that shows the slope and one point is the point-slope form.
