The equation you've provided, \( x + y - 3 = 0 \), is a linear equation in two variables.
To express it in a more standard form, you can rearrange it:
Solve for y:
\[ y = 3 - x \]
This represents a straight line in the Cartesian plane with a slope of -1 and a y-intercept of 3.
Find intercepts:
x-intercept: Set \( y = 0 \):
\[ 0 = 3 - x \implies x = 3 \quad \text{(x-intercept is (3, 0))} \]
y-intercept: Set \( x = 0 \):
\[ y = 3 - 0 \implies y = 3 \quad \text{(y-intercept is (0, 3))} \]
Graph: To graph this line, you can plot the intercepts (0,3) and (3,0) on a coordinate plane and connect them with a straight line.
If you have specific questions or need more details on this equation, feel free to ask!
