What you’ll learn
Graph linear equations in standard form.
Key idea
Horizontal intercept has output zero; vertical intercept has input zero.
Interchanging intercept coefficients or changing the constant fails at least one labeled axis crossing.
Worked example
Enter the exact value or ordered values in the format requested below.
Read numerical x-intercept of the full straight line joining H and V; x horizontal, y vertical.
Marked coordinates: H=(3, 0); V=(0, -6).
- Setting y=0 gives x=3; setting x=0 gives y=-6.
- Both intercepts satisfy -6x+3y=-18; distinct points determine the full line, whose slope is 2.
Answer: 3
Quick Check
Relate the graph used in 'Graph linear equations in standard form' to an equation, table, transformation, or verbal description.
Connect the full straight line through H and V to a standard equation using BOTH intercepts, x horizontal, y vertical.
Marked coordinates: H=(5, 0); V=(0, -7).