Final answer:
To find the equation of the line passing through the origin and (2, 5), we can calculate the slope using the formula (y2 - y1) / (x2 - x1). The y-intercept is 0 since the line passes through the origin. Therefore, the equation of the line is y = (5/2)x. Therefore, the equation of the line is y = (5/2)x or option c) y = 5x.
Step-by-step explanation:
To find the equation of the line passing through the origin and (2, 5), we need to determine the slope and y-intercept. The slope can be found by using the formula: m = (y2 - y1) / (x2 - x1). Substituting the coordinates (0, 0) and (2, 5) into the formula, we get: m = (5 - 0) / (2 - 0) = 5/2. Since the line passes through the origin (0, 0), the y-intercept is 0. Therefore, the equation of the line is y = (5/2)x or option c) y = 5x.
the equation of the line passing through the origin and (2, 5), we can calculate the slope using the formula (y2 - y1) / (x2 - x1). The y-intercept is 0 since the line passes through the origin. Therefore, the equation of the line is y = (5/2)x. Therefore, the equation of the line is y = (5/2)x or option c) y = 5x.