Question

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

Answer 1

5/2

Explanation:

Answer 2

m=5/2

Explanation:

If
`y-4=(5)/(2)(x-2)`, to find the slope, we first express the equation of the line in the slope-intercept form

y=mx+c, where

c=intercept on the y-axis

m=gradient/slope

`y-4=(5)/(2)(x-2)\\y=(5)/(2)(x-2)+4\\y=(5)/(2)x-5+4\\y=(5)/(2)x-1`

Comparing with y=mx+c, the slope of the line, m=5/2