At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

A line has a slope of -1/2 and a y-intercept of 3.

Which equations represent the line?

Choose all answers that are correct.

A. 2y=6+x


B. x+2y=6


C. y= -1/2+3


D. (y-2)= -1/2(x-2)

Sagot :

Slope Intercept Form: y = mx + b
(x, y) --> point on the line
m --> slope
b --> y-intercept

Point Slope Form: (y - y1) = m (x - x1)
(x1, y1) --> point on the line
m --> slope

Now that we know that information, we can substitute in what we know.
Slope Intercept Form: y = -1/2x + 3

Any equation will have to simplify to the equation above if it is an equation of the line.

A. 2y = 6 + x
     y = 6/2 + x/2
     y = 3 + 1/2x
Not an equation.

B. x + 2y = 6
    2y = 6 - x
    y = 6/2 - x/2
    y = 3 - 1/2x
    y = -1/2x + 3
Equation.

C. y = -1/2x + 3
Equation.

D. (y - 2) = -1/2 (x - 2)
     y - 2 = -1/2x + 1
     y = -1/2x + 3
Equation.

B, C, and D are all equations that represent the line.