PLEASE HELP! (04.02 MC) Write an equation of a line parallel to line EF in slope-intercept form that passes through the point (2, 6). Line EF is shown. E is at negative 2, 5. F is at 1, 3. A. y = 2x + 3
B. y = 3x + 6
C. y = negative two over 3x + twenty two over three
D. y = − two over threex + 6

  C.  y = -2/3x +22/3

Step-by-step explanation:

You can choose the correct answer by realizing that the line must have a y-intercept greater than 6. The given point is (2, 6) and the line goes up and to the left from there. The y-intercept is obviously more than 6.

The only reasonable answer choice is ...

  y = -2/3x +22/3 . . . . . a y-intercept of 7 1/3

There are a lot of ways to work problems like these. One is to write the equation of the line, then match that to the answer choices.

Another is to eliminate all the "impossible" answer choices, then choose the appropriate one from what's left. (The given line has a negative slope, eliminating choices A and B.)

I like to use the simplest method that will determine the correct answer. Here, that involves reading and understanding the question to obtain some idea of where the desired line must appear on the graph.

Of course, it helps to know that "slope-intercept form" is ...

  y = mx +b . . . . . . m represents the slope; b is the y-intercept

the function makes a strait line horizontally with no x intercept but a y intercept at 9.