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Slope-Intercept Form
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Slope-Intercept Form

The slope intercept form is probably the most frequently used way to express equation of a line. To be able to use slope intercept form, all that you need to be able to do is
1) find the slope of a line and
2) find the y-intercept of a line.
In general, the slope intercept form assumes the formula: y = mx +b.
m = Slope of the line
b = the y-intercept
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Example: Find the equation of the straight line that has slope m = 4 and passes through the point (-1, -6).
Solution: We have,
Slope m = 4 and a point (-1, -6) through which the line passes.
The slope-intercept form of a straight line is,
y = mx + b,
Given, m = 4, x = -1 and y = -6.
Substituting the values in the above equation,
y = mx + b
(-6) = (4)(-1) + b
-6 = -4 + b
-2 = b
Then the required equation of line must be "y = 4x - 2".
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