Question

: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slope form. State the slope. Point One: (1,2) Point Two: (0,−1)

Answer 1

slope:
`\bold{m=3}`

equation:
`\bold{y-2=3(x-1)}`

Explanation:

`m=(y_2-y_1)/(x_2-x_1)\\\\(1,\,2)\ \implies\ x_1=1\,,\ y_1=2\\(0,\,-1)\ \implies\ x_2=0\,,\ y_2=-1\\\\m=(-1-2)/(0-1)=(-3)/(-1)=3`

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

`x_1=1\,,\ y_1=2\,,\ m=3\\\\equation:\\{}\qquad\qquad y-2=3(x-1)`