Question

1) Find an equation of the line that passes through thr pair of points (-5,-9) and (2,-7).

Second question (diff question)

2) find and equation of the line that passes through the pair of points (3,-10) and (0,11).

Answer 1

1: Assuming this line is linear, the first thing to do is find the slope.
The slope formula is
`m=( y_(2) - y_(1) )/( x_(2) - x_(1) )`, so in this case, it is
`m=( (-7) - (-9) )/( 2 - (-5) )`, which comes to
`(2)/(7)`. Then, use your slope and one of the points given to write the point-slope formula of the linear equation, and then written in standard form:
y=
`(2)/(7)`x-
`(53)/(7)`.

2. Use the same process as in question 1 to find:
y=-7x+11