Question

Write the equation in standard form of the line that has x-intercept 6 and y-intercept -2.

Answer 1

Answer:

x - 3y = 6

Step-by-step explanation:

Equation of the line in intercept form

The intercept form of the equation of a line is:

$\displaystyle \frac{x}{a}+\frac{y}{b}=1$

Where:

a = x-intercept

b = y-intercept

The standard form of a line is:

Ax + By = C

The given line has a=6 and b=-2, thus:

$\displaystyle \frac{x}{6}+\frac{y}{-2}=1$

Multiplying by 6:

x - 3y = 6

This is the required standard form of the line.

Thus, the standard form of the line is:

x - 3y = 6