x-intercept: the point where the line crosses the x-axis
y-intercept: the point where the line crosses the y-axis
To find the x-intercept, find the value of x when y=0 in an equation. (Substitute 0 for y)
To find the y-intercept, find the value of y when x=0 in an equation. (Substitute 0 for x)
Example:
Find the x-intercept and the y-intercept of the graph 3x+5y=30
3x+5(0)=30 3(0)+5y=30
3x=30 5y=30
x=10 y=6
Graph the equation 2x+4y=12
2x+4(0)=12 2(0)+4y=12
2x=12 4y=12
x=6 y=3