Question

Equation of a straight line parallel to x + y = 7, whose x-intercept is 3 units, is ______.

Options

• x + y + 3 = 0

• x + y = 3

• x + 3 = 0

• x = 3

Answer 1

Equation of a straight line parallel to x + y = 7, whose x-intercept is 3 units, is x + y = 3.

Explanation:

Any line parallel to x + y = 7 will have the same coefficients for x and y, so the equation looks like x + y = k,

Using the intercept:

An x-intercept of 3 means the line passes through the point (3, 0),

Let’s solve for k:

Plug (3, 0) into the equation,

3 + 0 = k

∴ k = 3

Substituting k back gives x + y = 3.