Question

InWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

Answer 1

General Equation of a Line

`General Equation \\(y - y_(1) )= m (x-x_(1)) \\Slope=m= (x_(2)-x_(1) )/(y_(2)-y_(1) ) \\\\Given:\\p_(1)=(7,-4)\\p_(2)=(-1,2)\\Solution:\\m=((-1-7)/(2-(-4))) =(-8)/(6)\\y-(-4) = ((-8)/(6) )(x-7)\\y+4=(-8x)/(6) + 56\\y=(-8x)/(6) + 52 \\\\The\\ equation \\ is \\ y=(-8x)/(6) + 52`

Explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y