Chapter 5.4, Problem 20P

Writing Describe what you know about the graph of a line represented by the equation $y-3=-\frac{2}{3}(x+4)$.

To determine

To determine the nature of given equation of line.

Answer to Problem 20P

Slope is $-\frac{2}{3}.$

Point on line is (-4, 3)

Explanation of Solution

Given information:

  $y-3=-\frac{2}{3}\left(x+4\right)$

Standard equation of line is,

  $\left(y-y_1\right)=m\left(x-x_1\right)$

Where m is the slope of the line.

Now we shall compare the given equation with the standard form of equation we get,

Slope is $-\frac{2}{3}.$

Point on line is (-4, 3)