Question

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

Answer 1

Answer:

General Equation of a Line

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

Step-by-step explanation:

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