1. x = a
2. y = b
3. It has an undefined slope.
4. You can either use, rise/run or change in y / change in x.
5. Rewrite the given equation in slope-intercept form, then determine the y-intercept, b, of the line.
What is the Equation of a Line?
Equation of a line with m as slope and b as y-intercept is given as: y = mx + b.
1. Vertical lines have undefined slope. This implies that, for a given point, (a, b), the equation that models the line would be expressed as x = a, where a is the x-intercept.
Vertical line equation is: x = a.
2. Horizontal lines have 0 as a slope value, therefore, given (a, b), the equation that models the line is: y = b.
3. Equation for a vertical line cannot be written in slope-intercept form because the slope for a vertical line is undefined.
4. Using the following, rise/run or change in y / change in x, the slope (m), can be calculated given the coordinates of two points on a line.
5. To find an equation in point-slope form, e.g. y - 3 = 6(x - 4), rewrite the equation in slope-intercept form:
y - 3 = 6x - 24
y = 6x - 24 + 3
y = 6x - 21
The y-intercept, b, is: -21.
Therefore, the coordinate of the y-intercept would be: (0, -21).
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