Question

Which of the following is the point and slope of the equation y - 4 = 1/3(x - 5)?

Answer 1

See answer below

Explanation:

Hi there,

The formula above is not in point-slope form, which is of the form:

`y = mx +b`

So, just simply put it in point-slope form by:

1. distributing the 1/3 term into the parentheses

`y-4=(1)/(3)x -(5)/(3)`

2. add 4 to the right side of the equation to isolate y

`y = (1)/(3) x-(5)/(3) +4 \\ = (1)/(3) x-(5)/(3)+(12)/(3) =(1)/(3) x+(7)/(3) \\ y =(1)/(3) x+(7)/(3)`

Adding 4 as 12/3 with common denominator, the resulting equation is now in point-slope form.

The "point" refers to y-intercept, which is 7/3, while the slope is the coefficient of x, which is 1/3.

thanks,