Linear Equations
By DarthVader
Date: 2022-02-24
Topic: 93 see comments
Post views: 1127
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Slope Formula:
y2 - y1 / x2 - x1
Point Slope Formula:
y - y1 = m(x - x1)
Equation of a line:
y = mx + c
To find the y intercept, you need to know the slope (m) and a point on the line. All you need to do is plug in these values into the equation (y = mx + c) and solve for c (y-intercept).
Another way to find the y-intercept is to plug in 0 for x and then solve for y.
To find the x-intercept, set the y variable to zero E.G. ( 0 = mx + c ) then plug in the values for the slope (m) and the y-intecept (c) and then solve for x (x-intercept).
Length of a line:
The length of a line with endpoints (x1, y1) and (x2, y2) is given by:
length = √ (x2 − x1)2 + (y2 − y1)2
Midpoint of a line:
The coordinates of the point halfway between (x1, y1) and (x2, y2) are:
( (x1 + x2)/2, (y1 + y2)/2 )
Gradient of the perpendicular bisector of a line:
For a line with gradient m, the perpendicular bisector of this line has gradient: −(1/m)
Or:
(x1 − x2) / (y2 − y1)
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