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

Answer:

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

Step-by-step 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

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