Q. 4.7

In Exercise 4.7, we give linear equations. For each equation,

a. find the $y$ -intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

given equation is,

$y = - 7 x + 6$

Verified

Answer

a. $y$ -intercept is 6 and slope is -7

b. Slope is downward.

c. The graph is given below.

1Part(a) Step 1: Given information

We need to find $y$ -intercept and slope of given linear equation.

2Part(a) Step 2: Calculations

General form of linear equation is $y = m x + c$ where $m$ is slope and $c$ is intercept.

Comparing $y = - 7 x + 6$ with general form we get,

slope $m = - 7$

y-intercept $c = 6$

3Part(b) Step 1: Given information

We have to determine the direction of slope of given linear equation.

4Part(b) Step 2: Answer and its explanation

As we see the slope is having negative sign so the slope will point in downward direction.

5Part(c) Step 1: Given information

We have to graph the equation.

6Part(c) Step 2: Explanation

Graph for above equation