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

`\bold{y+1=5(x+1)}`

Explanation:

`m=(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=(4-(-1))/(0-(-1))=(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)`