Slope form

Slope-Intercept Form
\n-Definition: Slope-intercept form is a way to express the equation of a straight line in the format (y = mx + b)
-Components:
-m: Represents the slope of the line, indicating how steep the line is.
-b: Represents the y-intercept, the point where the line crosses the y-axis
-Usage: It is commonly used in algebra to easily graph linear equations and analyze their relationships.

formulas

y-y=m(x-x)

y-y

x-x

Slope-Intercept Form -Definition: Slope-intercept form is a way to express the equation of a straight line in the format (y = mx + b) -Components:

• m: Represents the slope of the line, indicating how steep the line is.

• b: Represents the y-intercept, the point where the line crosses the y-axis -Usage: It is commonly used in algebra to easily graph linear equations and analyze their relationships.

Parallel Lines: -Definition: Parallel lines are straight lines that have the same slope but different y-intercepts. -Equation: If line 1 has a slope m, then line 2 can be represented as y = mx + b2, where b2 is different from b1. -Graphical Representation: Parallel lines never intersect and maintain a constant distance apart.

Perpendicular Lines: -Definition: Perpendicular lines are straight lines that intersect at a right angle (90 degrees). -Slope Relationship: If line 1 has a slope m1, then line 2 must have a slope m2 such that m1 * m2 = -1. -Equation: If line 1 is represented as y = mx + b, the equation of the perpendicular line can be represented as y = (-1/m)x + b2.

Formulas: y - y1 = m(x - x1) y - y1 x - x1