Question

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

y=-3x + 3
y=-3x - 6
y = 3x - 3
y = 3x - 1

Answer 1

a or the first one

Explanation:

y=-3x+3

Answer 2

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

Option A is correct.

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.