Question

Write the equation of the line that passes through the given points.
(4, 0) and (0, 2)

Answer 1

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

First find the gradient. Formula for gradient is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2).

Gradient = (2-0)÷(0-4) = -1/2

Equation of line is y = -1/2x + c

Substitute either one of the points into the equation to find c.

0 = -1/2(4) + c

c = 2

Hence, the equation of the line is y = -1/2x + 2.