Question

What is the equation of the line that passes through the point (2,−2) and has a slope of 1/2

Answer 1

y = ½x - 3

Explanation:

x = 2

y = - 2

a = ½

y = ax + b

- 2 = ½(2) + b

- 2 = 1 + b

b = - 2 - 1

b = - 3

y = ax + b

y = ½x + (-3)

y = ½x - 3

Answer 2

• y = 1/2x - 3

Explanation:

Given:

• Line passing through the point (2, -2)
• The slope is m = 1/2

The equation of a line:

• y = mx + b, where m is a slope, b is a y-intercept

Use the coordinates of the point and find the value of b:

• -2 = 1/2*2 + b
• -2 = 1 + b
• b = -2 - 1
• b = -3

The line is:

• y = 1/2x - 3