The slope formula is (y2-y1)/(x2-x1).
So for this graph I chose these points: (-1-3)/(2-0) this would give you -4/2 which means that the slope is -2. It is negative because the y value is decreasing as you move left to right (as the x value increases).
This line is linear because if I put different numbers in the slope formula the slope stays the same. For example, (-3-5)/(3-(-1)) which would give you -8/4 which is still -2. Therefor the line is linear.Â
https://www.expii.com/t/slope-intercept-form-from-a-graph-examples-practice-4362Links to an external site.
https://chem.libretexts.org/Courses/Lumen_Learning/Book%3A_Microeconomics-1_(Lumen)/03%3A_1-_Economic_Thinking/3.08%3A_Reading-_Interpreting_Slope#:~:text=A%20negative%20slope%20means%20that,to%20right%2C%20the%20line%20fallsLinks to an external site.
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