1. Lines Slope measures the “steepness” of a line. Slope or
Ex 1: Find the slope of the line that passes through A(6,2) and B(-5,3).

2. Point-slope form: Given slope: m and a point (x1,y1) -
Ex 2: Find the equation of the line that passes through (-5,2) with a slope of -2/3.
Ex 3: Find the equation of the line that passes through (5,-2) and (1,7).

3. Slope-intercept form: Given slope (m) and a y-intercept (b) :
Ex 4a: Find the equation of a line with a slope of -3 and a y - intercept of 6.
Ex 4b: Find the slope intercept form of the line
4y - 6x + 5 = 0.

4. Vertical/Horizontal Lines
A vertical line through the point (a,b) is x = a.
A horizontal line through the point (a,b) is
y = b.
General Equation
Ax + By + C = 0 A and B not both zero.
Ex 6: Graph 3x - 4y + 12 = 0.

5. Parallel/Perpendicular Lines
Two nonvertical lines are parallel if and only if m1 = m2.
Ex 7: Find the equation of a line parallel to
4x + 6y + 5 = 0 through (-2,5).
To lines are perpendicular if m1m2 = -1 or
m1 = -1/m2.

6. Ex 9: Find the line perpendicular to
4x + 6y + 5 = 0 through (-2,5).

7. Assignment S 2.4: pg
#2,8,12,24,26,28,34,42,44,53