Final answer:
To find the slope-intercept form of the line that is parallel to y = 83x and passes through (1, 2), we use the formula y = mx + b, where m is the slope (83, since it is parallel) and b is the y-intercept. The calculated y-intercept is -81, but this option is not provided, so the closest match given is y = 83x - 23. therefore, option B is correct
Step-by-step explanation:
The question asks which equation represents a line that is parallel to the graph of y = 83x and passes through the point (1, 2). To find the slope-intercept form of the parallel line, we use the formula y = mx + b, where m is the slope and b is the y-intercept. Because parallel lines have the same slope, our new line will also have a slope of 83.
To find the y-intercept, we substitute the given point into the equation to get 2 = 83(1) + b, which simplifies to 2 = 83 + b. Solving for b, we subtract 83 from both sides to get b = 2 - 83, which is b = -81. Therefore, the correct equation is y = 83x - 81, but this option is not listed.
Since there might be a typo in the question or the options provided, it's essential to notify the student of the discrepancy and ask for clarification or review. However, based on the options available, the closest match that maintains the correct slope and closest to the calculated y-intercept is option B, y = 83x - 23.