Question

The line passing through point (1, 1) and making y-intercept equal to 3 has equation ______.

Options

• 2x − y = 3

• 2x − y +3= 0

• 2x + y = 3

• 2y + x = 3

Answer 1

The line passing through point (1, 1) and making y-intercept equal to 3 has equation 2x + y = 3.

Explanation:

By slope-intercept form:

Equation of line: y = mx + c ......(1)

Given,

Line passes through point (1, 1) and makes a y-intercept of 3.

Substituting value in equation (1), we get:

⇒ 1 = m(1) + 3

⇒ 1 = m + 3

⇒ m = 1 − 3 = −2

∴ Slope of line (m) = −2 and y-intercept (c) = 3

Substituting value of m and c in equation (1), we get:

⇒ y = −2x + 3

⇒ 2x + y = 3.