Question

The line has a slope of 2 and passes through the point (-1, 3). What is the point-slope form of the line? A) y-3=2(x - 1) B) y-3=2(x + 1) C) y + 3 = 2(x + 1) D) y-3=(x + 1)​

Answer 1

✦ Given that

• A line has a slope of 2 and passes through (-1,3)

✦ We need to find

• The point-slope form of the line

`\hrulefill`

`\longleftrightarrow\rm{y-y_1=m(x-x_1)}`

`\longleftrightarrow\rm{y-3=2(x-(-1)}`

`\longleftrightarrow\rm{y-3=2(x+1)}`

Therefore the equation is y - 3 = 2(x + 1).

Answer 2

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

y1 is 3 x1 is -1 m is 2

Substitute

y - 3 = 2(x + 1)