Answer:
y-9=1(x-3)
Explanation:
The point-slope form of the equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]Given the points (-1,5) and (3,9).
Step 1: We find the slope.
[tex]\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{9-5}{3-(-1)} \\ =\frac{4}{3+1} \\ =\frac{4}{4} \\ m=1 \end{gathered}[/tex]Step 2: Using the point (3,9), x1=3, y1=9
Therefore, the equation in point-slope form is:
[tex]y-9=1(x-3)[/tex]