Question

What is the equation of the line that passes through the point (-6, -8) and has a slope of 1/3

Answer 1

Answer:

x^2 = (28)^2 + (45)^2

= 784 + 2025

= 2809

x = 53

Answer 2

Answer (assuming it can be in point-slope form):

$y + 8 = \frac{1}{3} (x+6)$

Step-by-step explanation:

With the given information, we can use the point-slope formula, $y-y_1 = m (x-x_1)$, to write the equation of the line. Substitute values for the $m$ , $x_1$, and $y_1$ in the formula to do so.

The $m$ represents the slope, so substitute $\frac{1}{3}$ in its place. The $x_1$ and $y_1$ represent the x and y values of one point the line intersects, so substitute -6 for $x_1$ and -8 for $y_1$. This gives the following answer and equation (just make sure to convert the double negatives into positives:  

$y-(-8) = \frac{1}{3} (x-(-6))\\y + 8 = \frac{1}{3} (x+6)$