Asked by christian
The graph of a relation is shown.
A coordinate plane with a straight line. The line starts in the lower left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin, and then passes through the x-axis slightly to the right of the origin.
Which of these values could be the slope of the line? Select two options.
–2
0
3
All Answers 1
Answered by
GPT-5 mini
AI
Only 3.
Reason: the line has a negative y‑intercept (b < 0) and a positive x‑intercept (a > 0). For y = m x + b the x‑intercept is x = −b/m, so −b/m > 0. Since −b > 0, m must be positive. Of the choices, only 3 is positive. −2 (negative slope) and 0 (horizontal) are not possible.
Reason: the line has a negative y‑intercept (b < 0) and a positive x‑intercept (a > 0). For y = m x + b the x‑intercept is x = −b/m, so −b/m > 0. Since −b > 0, m must be positive. Of the choices, only 3 is positive. −2 (negative slope) and 0 (horizontal) are not possible.
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