Question

Use the coordinates of the labeled point to find the point-slope equation of

the line
(2,-5)

Answer 1

`\large\boxed{y+5=-4(x-2)}`

Explanation:

The point-slope equation of a line:

`y-y_1=m(x-x_1)`

m - slope

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

From the graph we have the points: (0, 3) and (2, -5). Substitute:

`m=(-5-3)/(2-0)=(-8)/(2)=-4`

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