The graph of the line passing through the points (6,7) and (4,2) has a slope of?
slope = (y2 - y1) / (x2 - x1)
when given the points (x1, y1) and (x2, y2)
so we can get
slope = (7 - 2) / (6 - 4) = 5 / 2
slope = 5/2 , 2 1/2 , or 2.5
\(\frac{ y_{2} - y^{1} }{ x^{2} - x^{1}}\)
\(\frac{2 - 7}{4 - 6}\)
\(\frac{-5}{-2}\)
\(\frac{5}{2}\)
\(2\frac{1}{2}\)
\(y - y_1 = m(x - x_1)\)
\(y - 7 = 2\frac{1}{2}(x - 6)\)
\(y - 7 = 2 \frac{1}{2}x - 15\)
\(y - 7 + 7 = 2\frac{1}{2}x - 15 + 7\)
\(y = 2 \frac{1}{2}x - 8\)