Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b[/tex]
m = slope
b = y-intercept
The slope is given; -2.
We have to figure out what the y-intercept is.
The y-intercept is where the line crosses the y-axis, or when x = 0.
Given the point, (-1, 5), we can determine what the y-intercept is with the slope.
The slope is describing that per every x, y decreases by 2.
-1 + 1 = 0 (x)
5 - 2 = 3 (y)
3 is the y-intercept
Substitute the slope and the y-intercept in the slope-intercept form equation:
[tex]\boxed{y=-2x+3}[/tex]
