Question

Choose the equation that represents the line that passes through the point (-1, 6) and has a slope of -3.

Answer 1

Answer:

Equation of line is $\mathbf{y=-3x+3}$

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: $y=mx+b$

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)

$y=mx+b\\6=-3(-1)+b\\6=3+b\\b=6-3\\b=3$

So, y-intercept b is 3

Now the equation of line having slope m= -3 and y-intercept b = 3 is

$y=mx+b\\y=-3x+3$

Equation of line is $\mathbf{y=-3x+3}$

Option A is correct.