Slope is equivalent to rise over run, or the change in y / change in x between two given (distinct) points on the line\(\). Let's look at the x and y intercepts which are 10 and -6 respectively. Over a distance of 10 units, the graph rises by 6, meaning that rise / run = 6/10 = a slope of 3/5
Find the slope of the line shown.
Hello monkeyree!
The 2-point equation helps here.
\(P_1(10;0)\\ P_2(0;-6)\)
\(\large m=\frac{y_2-y_1}{x_2-x_1}\)
\(\large m=\frac{-6-0}{0-10}\)
\(\large m=\frac{3}{5}\)
The slope of the displayed line is \(\frac{3}{5}\).
The function of the line shown is \(y=\frac{3}{5}x-6\)
!