Answer:
The slope of the line on the graph is [tex]\frac{3}{2}[/tex].
Step-by-step explanation:
The slope of a line can be found with [tex]\frac{\Delta y}{\Delta x}[/tex]. The points (3,2) and (-1,-4) lie on the line, so we can subtitute [tex]\Delta y = -4 -2 = -6[/tex] and [tex]\Delta x = -1-3 = -4[/tex] to see that the slope equals [tex]\frac{-6}{-4} = \frac{3}{2}[/tex]. This answer makes sense because the slope is going up when [tex]x[/tex] becomes larger (the slope is positive), and we travel more in the [tex]y[/tex]-direction than in the [tex]x[/tex]-direction (the slope is greater than 1).
