The equation y = 7x has a positive slope and therefore passes through the first and third quadrants. This is because a line with a positive slope increases as x increases, which means it must intersect both quadrants as it stretches diagonally across the Cartesian plane.
The student has asked which equation of a line passes through the first and third quadrants. The given equation y = 7x is a linear equation that represents a straight line. In the Cartesian plane, lines that pass through the first and third quadrants must have a positive slope because as the value of x increases, the value of y also increases (first quadrant), and as x becomes more negative, y also becomes more negative (third quadrant).
To determine if the equation given, y = 7x, passes through the first and third quadrants, we can examine its properties. Since the slope is positive (indicated by the positive coefficient of x), the line will indeed intersect both the first and third quadrants. For any positive value of x there will be a positive value of y (first quadrant), and for any negative value of x there will be a negative value of y (third quadrant).
The probable question may be: "Does the equation of the line (y=7x) passes through 1st and 3rd quadrant?"