Answer:
Equation of line is [tex]\mathbf{y=-3x+3}[/tex]
Option A is correct.
Step-by-step explanation:
We need to write an equation that represents the line that passes through the point (-1, 6) and has a slope of -3.
The equation will be of slope-intercept form: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
We are given slope m =-3, we need to find y-intercept b
Finding y-intercept
using slope m=-3 and point (-1, 6)
[tex]y=mx+b\\6=-3(-1)+b\\6=3+b\\b=6-3\\b=3[/tex]
So, y-intercept b is 3
Now the equation of line having slope m= -3 and y-intercept b = 3 is
[tex]y=mx+b\\y=-3x+3[/tex]
Equation of line is [tex]\mathbf{y=-3x+3}[/tex]
Option A is correct.
