Question

A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. What is the equation of the new line? A.2y=x+1 B.1/2y=x+4 C.y=2x+1 D.y=1/2x+4

Answer 1

The correct answer is C.

If our equation is y=x+2, the fact that there is no number attached to x means that there is a slope of 1.
Since we are doubling the slope, we would multiply 1 by 2.
1*2=2.
Our equation is now y=2x+2.

I also says to divide the y intercept by 2. The y intercept is the +2 after the x, so divide 2 by 2.
2/2=1
Our equation is now y=2x+1