State+The+Equation+of+a+Line+Given+One+of+the+Following;+Two+Points,+The+Slope+and+a+Single+Point,+A+table+of+Values,+The+Graph


 * STATE THE EQUATION OF A LINE GIVEN ONE OF THE FOLLOWING:**
 * **TWO POINTS**
 * **THE SLOPE AND A SINGLE POINT**
 * **A TABLE OF VALUES**
 * **THE GRAPH**


 * Given two points:**

Example: (0,2) and (3,5)

y=mx+b m=Y2-Y1**/**X2-X1 = 5-2**/**3-0 =3**/**3 =1 Substitue the slope (m) in: y =1*x+b

Use one of the coordinates and substitute the Y-Intercept and the X- Intercept into the equation: 2= 1*0+b b=2

y= 1*x+2


 * Given the slope and a single point:**

Example: m= 3/2, A(3,2)

y=mx+b y=3/2x+b 2=3/2*3+b 2*2= 2* 3/2(3) + 2*b 4= 9+2b 4-9=2b -5=2b 2b/2=-5/2 b=5/2

y=3/2x-5/2 Slope (m)= 3/2, Y-Intercept=5/2


 * Given a table of values:**

-1 -7 1 -3 2 -1 5 5
 * __X Y__**

For m= Y2-Y1/X2-X1 = -7-(-3)/-3-1 =-4/-2 =2

Substitute the slope into the equation. y=2x+b Use one of the coordinates and substitute them in. -7=2(-1) +b Solve for b. -7=-2+b -7+2=b -5=b b= -5 Slope (m)= 2, Y-Intercept (b)= -5