Question

(3,5) and (-1,9) slope finding b and writing equation

Answer 1

• Slope, m =-1

,

• Equation: y=-x+8

Step-by-step explanation:

Gien the points: (x1,y1)=(3,5) and (x2,y2)=(-1,9)

Slope

`Slope,m=(y_2-y_1)/(x_2-x_1)`

Substitute the points:

`\begin{gathered} m=(9-5)/(-1-3) \\ =(4)/(-4) \\ m=-1 \end{gathered}`

The slope of the line is -1.

Equation of the Line

We use the point-slope form to find the equation of the line.

Using point (3,5) and slope, m=-1

`\begin{gathered} y-y_1=m(x-x_1) \\ y-5=-1(x-3) \\ y-5=-x+3 \\ y=-x+3+5 \\ y=-x+8 \end{gathered}`

The equation of the line is y=-x+8.