By: Taylor Davis* Slope Intercept Form Slope Intercept Form The 5 Cases of Slope Intercept Form Case 1 Given Slope and Y-Intercept Case 2 There are 5 cases involved in writing equations in Slope Intercept form. Given slope and y-intercept

Given slope and point that is the y-intercept

Given slope and a point that is not the y-intercept

Given two points, one is the y-intercept

Given two points Just plug the slope into y=Mx+B If you are given

m=4 and b=3

Then the equation is y=4x+3 Slope intercept form is

y=Mx+b m=slope

b=y-intercept Given Slope and point that is the y-intercept If the problem says: M=3 and goes through (o,3) what is the equation? then, the equation would be

y=3x+3 This is correct because the point you are given is your y-intercept and you are given the slope, so the only thing you have to do is plug the numbers into y=Mx+b Case 3 Given Slope and a Point That is Not the y-intercept If a problem says:

y=2 and goes through (6,8), what is the equation? Plug in what we know to y=Mx+b

Use the point to solve foer what we know The problem would look like: * Remember y=Mx+b y=2x+b

8=2(6)+b

8=12+b

-12 -12 b=-4 The equation would be y=2x-4 Case 4 Given 2 points, one is the y-intercept Use slope formula

Use the given y-intercept When you are given two sets of coordinate pairs, you use the slope formula: y2-y1 divided by x2-x1 to find the slope. After you find the slope, you use the given Y intercept to complete the equation. For Example:

You are given the points (0,4) and (-2,-6) -6-4/-2-0 =-10/-2= 5 So the equation would be

y=5x+4 Case 5 Given Two Points To find an equation in slope intercept form when only given two points you first find the slope. Second, you use the slope in y=Mx+b. Next, you solve for B by choosing one of the coordinate pairs and plugging them in to y=Mx+b. Finally, you use the slope and y intercept that you just found and plug them into y=Mx+b For example:

You are given the coordinate pairs (4,3) and (12,9) 9-3/12-4=6/8= 3/4 y=3/4x+b

9=3/4(12)+b

9=9+b

b=0 Then your equation would be

Y=3/4x=0 or Y=3/4x Examples CASE 1 m=2 b=3

y=2x+3 CASE 2 m=8 and goes through (0,2)

y=8x+2 CASE 3 m=3 and goes through (3,4)

y=3x+b

3=2(4)+b

3=8+b -8 -8 b=-5 y=3x-5 CASE 4 (0,2) (-3,-4)

-4-2/-3-0

m=2 y=2x+2 CASE 5 (2,1) (3,5)

m=5-1/3-2

m=4 y=4x+b

1=4(2)+b

1=8+b

-8 -8

-7=b y=4x-7 Slope Intercept Form comes

in handy when making a table

because it is extremely easy

to make a table using Y=Mx+B Don't Forget! Y=Mx+B

M= slope

B= y intercept Case 1-

given slope and Y-intercept

Case 2-

given slope and point

that is the y intercept

Case 3-

given slope and a point that

is not the y-intercept

Case 4-

Given two points, one is the

y-intercept

Case 5-

Given two points Click Here for more Algebra information http://www.algebra-class.com/writing-equations.html

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# Slope Intercept Form

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