Question

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Which equation is a point slope form equation for line AB ?

(A) y−5=2(x−6)

(B) y−3=2(x−2)

(C) y+2=2(x+3)

(D) y−6=2(x−5)

Answer 1

Answer:

D

Step-by-step explanation:

The slope = 4/2 = 2

and one point  on the graph ( point B)  is (5, 6)  so point-slope equation is

y - 6 = 2(x - 5)

Answer 2

The point slope form of the line AB shown in the graph is (y-6)=2(x-5) which is option d.

What is equation?

An equation is relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c but the standard form of an equation is y=mx+c where m is the slope of the line whose equation is formed.

How to form equation?

To form an equation we need atleast two points. If we see the line in the chart then we can find that points of A is (3,2) and B is (5,6)

We know that equation expresses the whole line whether measured from any end.

B(5,6), A(3,2)

The formula of forming  an equation from two points is as under:

y-$y_{1}$=$(y_{2} -y_{1} /x_{2} -x_{1} )*(x-x_{1} )$ where $(x_{1} ,y_{1} ),(x_{2} ,y_{2} )$ are the points.

Equation will be as under:

y-6=(2-6)/(3-5)*(x-5)

y-6=-4/-2 *(x-5)

y-6=2(x-5)

Hence the point slope form for line AB is y-6=2(x-5) which is option D.

Learn more about equation at https://brainly.com/question/2972832

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