Answer: second option.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
Given the points [tex]P1\ (2,5)[/tex] and [tex]P2\ (0,-1)[/tex], we can find the slope with the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting values, we get:
[tex]m=\frac{-1-5}{0-2}=3[/tex]
Now, we must substitute the slope and the coordinates of one of the given points, into the equation [tex]y=mx+b[/tex] and solve for "b":
[tex]-1=3(0)+b\\\\b=-1[/tex]
Therefore, the equation of this line in Slope-Intercept fom is:
[tex]y=3x-1[/tex]
