Three Forms of Equations of Lines
1.
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Directions: Complete each row of the following table so that it contains the graph of the line; the equation of the
line in slope-intercept form, y = mx + b ; the equation of the line in point-slope form, y − y1 = m( x − x1 ) ; and the
equation of the line in standard form, Ax + By = C.
Graph
Slope-Intercept Form
Point-Slope Form
Standard Form
Choose any point on the line.
(3,7)
y = x+4
y − 7 = 1( x − 3)
x − y = −4
−x + y = 4
Use the point (-1,1).
2.
y = −2 x − 1
y − 1 = −2( x + 1)
2 x + y = −1
−2 x − y = 1
Choose any point on the line.
(4,1)
3.
1
y = − x+3
2
1
y − 1 = − ( x − 4)
2
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x + 2y = 6
Graph
Slope-Intercept Form
Point-Slope Form
Standard Form
4.
y=
1
3
x+
4
2
1
y − 1 = ( x + 2)
4
x − 4 y = −6
Choose any point on the line.
(2,0)
5.
3
y = − x+3
2
3
y − 0 = − ( x − 2)
2
3x + 2 y = 6
y + 2 = −( x + 1)
x + y = −3
6.
y = −x − 3
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