To find the equation of the line in slope intercept form the first step is to find the slope of the given line:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]In this formula, m is the slope of the function, y2 and y1 are the y coordinates of 2 points on the line, and x2 and x1 are the x coordinates of the same 2 points, for example, they can be (-1,3) and (0,1):
[tex]m=\frac{1-3}{0-(-1)}=-\frac{2}{1}=-2[/tex]The slope of the line is -2.
Now, we can use the y intercept of the graph of g, which is 1.
The slope intercept form of the equation follows the following general structure:
[tex]y=mx+b[/tex]Where m is the slope of the line and b is the y intercept. Use the known values to replace them on the equation. The intercept form of the equation is:
[tex]y=-2x+1[/tex]