Question

Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?

Answer 1

Answer:

Equation; y = 1 3 / 7x - 5 / 7

Step-by-step explanation:

First consider the slope of this equation we must derive;

Slope Formula = Rise / Run,

y2 - y1 / x2 - x1 ⇒

5 - ( - 5 ) / 4 - ( - 3 ) ⇒

10 / 7 ⇒ Slope : 1 3 / 7

So far we can formulate an equation as such;

y = 1 3 / 7 * x + b, where b ⇒ y - intercept

Given one of the points, substitute into this equation solving for b;

5 = 1 3 / 7 * ( 4 ) + b,

5 = 40 / 7 + b,

b = - 5 / 7

From this we can derive one point - slope from equation to be :

Equation; y = 1 3 / 7x - 5 / 7