Question

Write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"

Answer 1

`y = -(5)/(6) x -(31)/(3)`

In order to find equation:

Find slope:

`\sf slope: (y_2 - y_1)/(x_2- x_1) = (rise)/(run)`

`\rightarrow \sf slope: (-17-(-7))/(8-(-4))`

`\rightarrow \sf slope: -(5)/(6)`

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

`\sf \rightarrow y - (-17) = -(5)/(6) (x - 8)`

`\sf \rightarrow y = -(5)/(6) x + (20)/(3) -17`

`\sf \rightarrow y = -(5)/(6) x -(31)/(3)`