Answer:
y = -3/2 x -2
Step-by-step explanation:
The equation of a line in slope-intercept form is expressed as y = mx+b
m is the slope
b is the intercept
Get the slope
m = -5-1/2-(-2)
m = -6/4
m = -3/2
Get the intercept
Substitute m = -3/2 and (-2, 1) into y = mx+c
1 = -3/2(-2) + c
1 = 3 + c
c = 1-3
c =-2
Get the required equation
y = mx+c
y = -3/2 x + (-2)
y = -3/2 x -2
Hence the required equation is y = -3/2 x -2
