Answer :

Answer:

[tex]y-3=-1(x+2)[/tex]

Explanation:

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

[tex]y-y_1=m(x-x_1)[/tex]

where m = the slope of the line

y1 = y-coordinate of the one point

x1 = x-coordinate of the one point

Given the slope of the line as m = -1 and the point (-2, 3) where x1 = -2 and y1 = 3, let's go ahead and substitute these given values into the point-slope formula to obtain the required equation as seen below;

[tex]\begin{gathered} y-3=-1\lbrack x-(-2)\rbrack \\ y-3=-1(x+2) \end{gathered}[/tex]