Question

Write the equation of a line that includes the point (1,5) and

has a slope of 3 in standard form.
A. 3x + y = 2
B. -3x + y = 5
C. -3x + y = 2
D. 3x + y = 5

Answer 1

C. -3x + y = 2

Explanation:

given the point (1,5)

let x = 1 and y =5

by trial and error method ,

a.)lhs = 3x+y=5

3(1)+5=8 not equal to 2

b.)lhs=-3x+y=5

-3(1)+5=2 not equal to 5

c.)lhs= -3x + y = 2

-3(1)+5=2

lhs = rhs

Answer 2

C. -3x + y = 2

Explanation:

(x₁,y₁) = (1,5)

m = 3

y - y₁ = m(x - x₁)

y - (5) = (3)(x - (1))

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x +2

-3x + y = 2