Question

Help me with this slope graph problem

Answer 1

to get the slope of any straight line, we simply need two points off of it.

so from what I can tell in the graph, check the picture below, the line goes above the 4 about 3/4 pretty much, or namely 0.75 above the 4, that'd make it 4.75, the graph also goes below the -3, about 1/4  below, namely 0.25 that'd make it -3.25, because two grid lines make up a whole number, so let's use those two points to get its slope.

$(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3.25})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{4.75}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4.75}-\stackrel{y1}{(-3.25)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-2)}}} \implies \cfrac{4.75 +3.75}{2 +2}\implies \cfrac{8}{4}\implies \text{\LARGE 2}$