Finding Linear Equations
A linear equation is for example X + Y = #. The graph of a linear equation is not always a line. It has no other operations than addition, subtraction and multiplication of a variable by a constant. The variables may not be multiplied together or in the denominator of a fraction.
Linear Equations5X - 3Y = 7
X = 9 6S = -3T - 15 Y = 1/2 X |
Not a Linear Equation7A + 2B ² = -8
Y = √X+5 X + XY = 1 Y = 1/X |
Given Slope & Y-Int.Slope: 4 Y-Intercept: 7
Y = 4 X + 7 |
Given Slope & PointThrough: (5,9) Slope: 4
9 = 4(5) + B 9 = 20 + B -11 = B Y = 4 X - 11 |
Given 2 Points(-1,4) (1, -2)
-2 -4 = -6 = -3 1 + 1 2 -2 = -3 (1) + B -2 = -3 + B 1 = B Y = -3 X + 1 |
Given a Point & Parallel LineThrough Point: (-2, 5) Parallel To: Y = 6 X + 4
5 = 6 (-2) + B 5 = -12 + B 17 = B Y = 6 X + 17 |
Given Slope & Perpendicular LineSlope: -3 Perpendicular To: 2X + 5Y = 10
X Int = 5 Y Int = 2 Y = -3 X + 2 |