Question

Write the equation of the line in Point-Slope Form given the information below. Use Point One. point 1=(-1,-1) Point 2-(0,4)

Answer 1

Answer:

             $\bold{y+1=5(x+1)}$

Step-by-step explanation:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-1,\,-1)\ \implies\ x_1=-1\,,\ y_1=-1\\(0,\,4)\ \implies\ x_2=0\,,\ y_2=4\\\\m=\dfrac{4-(-1)}{0-(-1)}=\dfrac{5}{1}=5$

$y-y_1=m(x-x_1)$      - point-slope form of Equation of the Line

$x_1=-1\,,\ y_1=-1\,,\ m=5\\\\equation:\\{}\qquad\qquad y-(-1)=5\big(x-(-1)\big)\\\\{}\qquad\qquad y+1=5\big(x+1\big)$