Final answer:
The equation of a line in standard form with an x-intercept of -2 and a y-intercept of 6 is 3x + y = 6.
Step-by-step explanation:
To find the equation of a line in standard form with an x-intercept of -2 and a y-intercept of 6, we can use the intercept form of a line equation, which is given as:
\(\frac{x}{a} + \frac{y}{b} = 1\)
where \(a\) is the x-intercept and \(b\) is the y-intercept. Substituting the given intercepts, we get:
\(\frac{x}{-2} + \frac{y}{6} = 1\)
Multiplying through by the common denominator of 6(-2) to eliminate fractions, we obtain the standard form:
\(3x + y = 6\)
This is the equation of the line in standard form with the given properties.