Write an equation in slope-intercept form using the given information about each line. Line goes through the points (2 , 8) and (4 , 9)

9514 1404 393

  y = 1/2x +7

Step-by-step explanation:

I like to start with the 2-point equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) + y1

  y = (9 -8)/(4 -2)(x -2) +8 . . . . . fill in point values

  y = 1/2(x -2) +8 . . . . . simplify a bit

  y = 1/2x +7

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.