Question

Write the equation of the line passing through the point (3, 1) and parallel to the line represented by the equation 6x-3y = 12.

A.y-3=2(x-1)
B.y-3=3(x-1)
C.y-1=3(x-3)
D.y-1-2(x-3)

Answer 1

Standard form looks tough to graph, but in reality, we can change this equation to a more understandable slope-intercept equation. All we have to do is subtract 6x off the left side and add it back to the right side of the equation, giving us
`-3y=-6x+12`.

Next, since all of our numbers in this equation are easily divisible by 3, we can divide negative 3 to give us our slope-intercept equation for this graph:
`y=2x-4`.

From this equation we can determine that our slope is equal to 2.

So now, we use the point slope form
`y-y_1=m(x-x_1)` given the coordinate (3, 1) with our newly found slope of -4 to find the answer.

Plugging in the values of m, y, x will give us an equation looking like this:
`y-1=2(x-3)`.

So therefore, D is the answer that is correct.