Question

Which of these could be the graph of a function y = mx + b for some value of m and b?



Choose ALL that are correct.


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Answer 1

I can’t see the pictures you attached. Could you either upload them again or describe each graph (e.g. “a vertical line at x=2”, “a parabola y=x^2”, “a diagonal line passing through (0,1) and (2,3)”, “a circle centered at (1,0)”, etc.)?

Tip to check each one yourself:
- y = mx + b is a single straight line (constant slope) that is not vertical. So any straight, non-vertical line (including horizontal lines) could be y = mx + b.
- Vertical lines (x = constant) cannot be written as y = mx + b.
- Curves (parabolas, circles, exponential shapes), multiple segments that aren’t collinear, or graphs that fail the vertical line test are not of the form y = mx + b.

If you repost the images or describe them I’ll mark which ones qualify and explain why.