# How do you find the slope of the line that passes through (52, 76) and (51, 78)?

Jul 5, 2016

${x}_{1} = 52 , {y}_{1} = 76$
${x}_{2} = 51 , {y}_{2} = 78$
m(gradient) = (Δy)/(Δx) = $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$ = $\frac{78 - 76}{51 - 52}$ = $\frac{2}{- 1}$ = -2
Note: The $\frac{{y}_{2} - {y}_{1}}{{x}_{1} - {x}_{2}}$ can be switched around to $\frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$