1. x = a
2. y = b
3. The slope of a vertical line is undefined..
4. Change in y/change in x (m) or rise/run
5. Rewrite the equation in slope-intercept form to find the value of the y-intercept. The value of x will always be 0.
What is the Equation of a Line?
The equation, y = mx + b, in slope-intercept form, defines a line, where m is the slope and the y-intercept = b.
1. Slopes of vertical lines are always undefined, therefore, for a vertical line that contains (a, b), the equation would be: x = a.
2. Horizontal lines have a slope of 0, therefore, the equation of a horizontal line that contains the point, (a, b), will be: y = b.
3. The slope of a vertical line is undefined.
4. Two ways of finding the slope if we are given two points on a line are:
Change in y/change in x (m) = y2 - y1 / x2 - x1
or
rise/run
5. If we have an equation in point-slope form, for example, y - 2 = 2(x - 4), rewrite the equation in slope-intercept form and find the value of the y-intercept:
y - 2 = 2x - 8
y = 2x - 8 + 2
y = 2x - 6
The y-intercept = -6, therefore, the coordinates of the y-intercept would be: (0, -6).
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