Stuff you should know
about Graphing Linear Equations

1. The graph of an equation is a drawing that represents all its solutions
2. The graph of an equation is a visual way to describe the relationship between two variables.
3. Linear means line, here specifically, a straight line
4. Ordered pair = point = set of coordinates
5. Origin = (0,0)
6. Any point is at (x,y)
7. x - axis is horizontal, y-axis is vertical
8. Slope = rise / run; rise = vertical change; run = horizontal change
9. Slope Intercept form: y = m·x + b
   1. m = slope
   2. b = y-intercept where straight line crosses y axis and x=0
10. The graph of y = b is a horizontal line, slope = 0, y-intercept = (0,b)
11. The graph of x = a is a vertical line, slope = undefined, x-intercept = (a,0)
12. Standard Form: A·x + B·y = C
13. Plotting points: use T-chart aka T-table
14. Two points make a line, three points confirms a line
15. Given the equation, draw the graph
16. Given two points, derive the equation
17. Given one point and a slope, derive the equation
18. Given the graph, derive the equation
19. Print graph paper at www.richardmartino.com/math