Graphing Linear Equations Flashcards

Finding Intercepts

• The x-intercept of the equation 3x + 2y = 6 is 2, found by setting y to 0.
• The y-intercept of the equation 3x + 2y = 6 is 3, found by setting x to 0.
• For the equation -3x + 5y = -15, the x-intercept is 5, determined by setting y to 0.
• The y-intercept of -3x + 5y = -15 is -3, calculated by setting x to 0.

Identifying Graphs

• Graph identification requires matching graphed lines with their corresponding equations.
• The equation y = x + 3 represents a line with a slope of 1 and a y-intercept at 3.
• The equation y = 4x - 8 is a line with a slope of 4 and a y-intercept at -8.
• The equation y = -2 + 8x can be simplified to y = 8x - 2, indicating a steep line with a positive slope.
• The equation 3x + y = 15 can be rewritten as y = -3x + 15, a line with a negative slope.
• The equation 8x - 5y = 80 can be transformed into slope-intercept form to analyze its slope and intercept.

Specific Line Graphs

• The equation x = -2 describes a vertical line located at x = -2.
• The equation y = -1 creates a horizontal line situated at y = -1.

Table Matching

• The task involves matching equations with their corresponding values on a table.
• Equations to match include y + x = 2, y - 2x = 5, y + 4x = 1, 3y + 4x = 12, and 3x + 2y = 8.
• Each equation represents a unique line whose slope and intercept can help identify corresponding values in a table.