Question

Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m = 1/2 , (3, 4)

Answer 1

x - 2y = - 2

Explanation:

Given the following :

1/2 , (3, 4),

The equation of a line :

y = mx + c

m = slope ; c = gradient

m = 1/2

c = (y1 - x1) / 2

c = (4 - 3) / 2 = 1/2

Hence, y = 1/2x + 1/2

In standard form:

Ax + By = C

A and B integer Coefficient of x and y respectively

y = 1/2x + 1/2

1/2x - y = - 1/2

Multiply both sides by 2

x - 2y = - 2

Hence, standard form of the equation is :

x - 2y = - 2