Question

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

Answer 1

Answer:

See answer below

Step-by-step 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

$y-4=\frac{1}{3}x -\frac{5}{3}$

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

$y = \frac{1}{3} x-\frac{5}{3} +4 \\ = \frac{1}{3} x-\frac{5}{3}+\frac{12}{3} =\frac{1}{3} x+\frac{7}{3} \\ y =\frac{1}{3} x+\frac{7}{3}$

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,