Point-Slope Form
Standard Form
Slope Intercept Form
Finding Slope
Misc.
100
Put in Point Slope Form: m = 3 (4, 5)
(y - 5) = 3(x - 4)
100
Put into standard form: 3y = -2x + 9
2x + 3y = 9
100
Put into Slope Intercept Form: 8x + 2y = 10
y = -4x + 5
100
Find the Slope: (2, 4) (4, 10)
3
100
Simplify into STANDARD FORM: y + 2 = -1(x - 4)
x + y = 2
200
Put in Point Slope Form: m = 9 (-4, 9)
(y - 9) = 9(x + 4)
200
Write in Standard Form: 8 = 3x + 9
-3x - 9 = -8
200
Put into slope intercept form: x - y = -4
y = x + 4
200
Find the slope: (1, -2) (0, 2)
4
200
Write the equation in SLOPE INTERCEPT FORM: 6x - y = -1
y = 6x + 1
300
Put in Point-Slope Form: (5, 2) (-2, 1)
(y - 2) = 1/7(x - 5) OR (y - 1) = 1/7(x + 2)
300
Simplify and put into Standard Form: (y - 1) = 8(x - 3)
-8x + y = -23
300
Put into slope intercept form: 3x - y = 2
y = 3x - 2
300
(2, 6) (-1, 3)
3
300
Write an equation of the line passing through the points (1, 1) (-1, -1) in point slope form.
(y + 1) = 1(x + 1)
400
(-3, 3) (9, -2)
(y - 3) = -5/12(x + 3) OR (y + 2) = -5/12(x - 9)
400
Simplify and put into Standard Form: (y + 3) = -2(x + 9)
2x + y = -21
400
Put in Slope Intercept Form: 4x + y = 2
y = -4x + 2
400
Find the Slope: (8, 8) (12, 6)
-1/2
400
Write the equation of the line passing though the points (1, -2) and (0, 2) in SLOPE INTERCEPT FORM.
4x + y = 2
500
(8, 1) (8, 1)
(y - 1) = 0
500
Simplify and put into Standard Form: (y - 6) = 9(x - 7)
-9x + y = 69
500
Put in slope intercept form: 6x - y = -1
y = 6x + 1
500
Find the Slope: (0, 1) (-3, -17)
6
500
Write an equation of a line passing through the points (1, 3) and (4, 6) in STANDARD FORM:
-x + y = 2
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