Question

4. Write the equation of the line that
passes through (9,4) (0-5)

Answer 1

Equation of line is y = x - 5

Explanation:

general equation of a line:

`y = mx + c`

m » slope

c » y-intercept

for the slope, m :

`slope = (y_(2) - y_(1) )/(x _(2) - x_(1) )`

substitute in accordance of the points:

`slope = ( - 5 - 4)/(0 - 9) = ( - 9)/( - 9) \\ \\ m= 1`

for y-intercept :

[ consider point (0, -5) ]

`y = mx + c \\ - 5 = (0 * 1) + c \\ c = - 5`

Therefore, equation of line is

`{ \boxed{y = x - 5}}`