Chapter 6, Problem 7PFA

To determine

To find: The accurate description of the straight line $3x+y=-5$ .

Answer to Problem 7PFA

The description A is correct.

Explanation of Solution

Given information:

The four description of line $3x+y=-5$ are:

A. The graph contains the points $\left(-3,4\right)$ , $\left(-1,-2\right)$ , and $\left(3,-14\right)$ .

B. The graph is a line with y -intercept of $\left(0,-5\right)$ and slope of -3.

C. The graph has x -intercept of $\left(1,-8\right)$ and slope of -3.

D. The graph passes through the points $\left(0,-5\right)$ and $\left(2,1\right)$ .

Formula used:

A point on the line satisfy its equation, and x- intercept of a line is point where y =0.

The given line is $3x+y=-5$ .

Since, $3\left(-3\right)+\left(4\right)=-5$ , $3\left(-1\right)+\left(-2\right)=-5$ , and $3\left(3\right)+\left(-14\right)=-5$ , therefore, the line $3x+y=-5$ passes through points $\left(-3,4\right)$ , $\left(-1,-2\right)$ , and $\left(3,-14\right)$ . Thus, the description A is correct.

Conclusion:

The description A is correct.