Question

Which answer is an equation in point-slope form for the given point and slope?

point: (−3,5)(−3,5) ; slope: 4



y−5=4(x−3)

y+5=4(x−3)

y+5=4(x+3)

y−5=4(x+3)

Answer 1

I just took the test. The correct answer is:

Answer 2

The correct answer is
`y-5=4(x+3)`.

Explanation:

The point-slope form of the equation of a straight line is:

`y - y_1 = m(x - x_1)`

The equation is useful when we know:

• one point on the line:
  `(x_1,y_1)`
• and the slope of the line:
  `m`.

We know that the point is (−3,5) and the slope is 4.

Applying the above definition we have that

`y-5=4(x+3)`