Question

Write an equation in point slope form (-1,5)and(3,9)

Answer 1

y-9=1(x-3)

Step-by-step explanation:

The point-slope form of the equation of a line is given as:

`y-y_1=m(x-x_1)`

Given the points (-1,5) and (3,9).

Step 1: We find the slope.

`\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(9-5)/(3-(-1)) \\ =(4)/(3+1) \\ =(4)/(4) \\ m=1 \end{gathered}`

Step 2: Using the point (3,9), x1=3, y1=9

Therefore, the equation in point-slope form is:

`y-9=1(x-3)`