Answer:
y = -x+2
Step-by-step explanation:
Plug in Slope into y=mx+b
Plug in coordinate and solve for b
Answer:
Step-by-step explanation:
The slope-intercept form of na equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
We have the slope m = -1, and the point on a line (3, -1).
Substitute:
[tex]y-(-1)=-1(x-3)\\\\y+1=-(x-3)[/tex]
Convert to the slope-intercept form:
[tex]y+1=-(x-3)[/tex]
[tex]y+1=-x-(-3)[/tex]
[tex]y+1=-x+3[/tex] subtract 1 from both sides
[tex]y+1-1=-x+3-1[/tex]
[tex]y=-x+2[/tex]
