Question

write the equation of the line that passes through the points (7,-4) and (-1,3), first in point slope form​

Answer 1

The given line that passes through the points (7,-4) and (-1,3).

The slope is

`m = (3 - - 4)/( - 1 - 7) = - (7)/(8)`

The point-slope form is obtained using:

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

When (7,-4) is used the point-slope form is

`y + 4= - (7)/(8) (x - 7)`

We expand now to get;

`y = - (7)/(8)x + (49)/(8) - 4`

This implies that,

`y = - (7)/(8)x + (17)/(8)`