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 , (7, 9)

Question

Im not sure how to do this

Answer 1

y = mx + b

 

m = 1/2

 

y = (1/2)x + b

 

Use the given point to find b.

 

9 = (1/2)7 + b

 

b = 9 - 7/2 = 11/2

 

y = (1/2)x + 11/2

 

Standard form is

 

Ax + By = C

 

with A integer (if possible) and positive.

 

y = (1/2)x + 11/2 ⇒

 

(1/2)x - y = -11/2

 

Multiply both sides by 2 and get

 

x - 2y = -11