1. Equations of Lines

2. Equations of Lines
Standard form

3. Standard form of a Line Ax + By = C 5x + 2y = 10 2x - 4y = 8

4. y = 3x+5 1y = 3x+5 -3x -3x -3x+y = 5 Standard form of a Line
Currently in slope intercept form (y = mx + b)
Write in Standard Form (Ax + By = C)
1y = 3x+5
-3x -3x
-3x+y = 5

5. y = -2x - 2 1y = -2x - 2 +2x +2x 2x+y = -2 Standard form of a Line
Currently in slope intercept form (y = mx + b)
Write in Standard Form (Ax + By = C)
1y = -2x - 2
+2x +2x
2x+y = -2

6. Standard form of a Line Slope Intercept Form Standard Form y = 6x + 4
-6x + y = 4
4x + y = -2
y = -4x - 2
y = -x + 5
x + y = 5
y = -3x + 4
9x + 3y = 12

7. X and y intercepts Point (0 , 3) Point (-3 , 0)
X intercept – where the line crosses the x axis
y intercept – where the line crosses the y axis
Point (0 , 3)
Point (-3 , 0)
The x value of the y intercept is 0
The y value of the x intercept is 0

8. X and y intercepts x + y = 5 x + y = 5 x + y = 5 0 + y = 5 x + 0 = 5
Find the x and y intercepts of the line with the equation of
x + y = 5
y intercept – where the line crosses the y axis and x = 0
X intercept – where the line crosses the x axis and y = 0
x + y = 5
x + y = 5
0 + y = 5
x + 0 = 5
x = 5
y = 5
y intercept is (0,5)
X-intercept is (5,0)

9. X and y intercepts 3x + 6y = 12 3x +6y = 12 3x +6y = 12 3(0) +6y = 12
Find the x and y intercepts of the line with the equation of
3x + 6y = 12
y intercept – where the line crosses the y axis and x = 0
X intercept – where the line crosses the x axis and y = 0
3x +6y = 12
3x +6y = 12
3(0) +6y = 12
3x +6(0) = 12
6y = 12
3x = 12
x = 4
y = 2
y intercept is (0,2)
X-intercept is (4,0)

10. X and y intercepts -5x + 2y = -10 -5x +2y = -10 -5x +2y = -10
Find the x and y intercepts of the line with the equation of
-5x + 2y = -10
y intercept – where the line crosses the y axis and x = 0
X intercept – where the line crosses the x axis and y = 0
-5x +2y = -10
-5x +2y = -10
-5(0) +2y = -10
-5x +2(0) = -10
2y = -10
-5x = -10
x = 2
y = -5
y intercept is (0,-5)
X-intercept is (2,0)