What is the slope of the line whose equation is y−4= StartFraction 5 Over 2 EndFraction.x−2?

Answer:m=5/2If \(y-4=\frac{}5{}{}2{}(x-2)\), to find the slope, we first express the equation of the line in the slope-intercept formy=mx+c, where c=intercept on the y-axism=gradient/slope\(y-4=\frac{}5{}{}2{}(x-2)\\y=\frac{}5{}{}2{}(x-2)+4\\y=\frac{}5{}{}2{}x-5+4\\y=\frac{}5{}{}2{}x-1\)Comparing with y=mx+c, the slope of the line, m=5/2