Answer:
[tex]y=-3x+6[/tex]
Step-by-step explanation:
Use the point-slope formula:
[tex]y-y(1)=m(x-x(1))[/tex]
m is the slope. Fill in the values:
[tex]y-(-6)=-3(x-4)[/tex]
Simplify parentheses (negative+negative=positive):
[tex]y+6=-3(x-4)[/tex]
Solve for y:
Use the distributive property:
[tex]y+6=-3(x)-3(-4)\\y+6=-3x+12[/tex]
Subtract 6 from both sides:
[tex]y+6-6=-3x+12-6\\y=-3x+6[/tex]
Written in slope-intercept form, [tex]y=mx+b[/tex] , with m as slope and b as the y-intercept, the equation is [tex]y=-3x+6[/tex] .
Done.
