Question

The line has a slope of -3 and passes through the point (4,2). What is the point-slope form of the line? A) y-2=-3(x-4) B) y + 2 = 3(x-4) C) y + 2 = -3(x+4) D) y +2=-3(x+4)​

Answer 1

✦ Given that

• The line has a slope of -3, and it passes through (4,2)

✦ We need to find

• The point slope form of the line

`\hrulefill`

`\longleftrightarrow\rm{y - y_1 = m ( x - x_ 1)}`

`\longleftrightarrow\rm{y-2=-3(x-4)}`

Therefore the point slope form is y - 2 = -3(x - 4)

Answer 2

Point slope form is. y - y1 = m(x - x1)

y1 is 2 x1 is 4 m is -3

Substitute

y - 2 = -3(x - 4)