   Chapter 1.3, Problem 9E

Chapter
Section
Textbook Problem

Finding the Slope and y-Intercept In Exercises 5-16, find the slope and y-intercept (if possible) of the equation of the line. 7 x   +   6 y   =   30

To determine

To calculate: The slope and y-intercept of equation 7x+6y=30.

Explanation

Given Information:

The provided equation is 7x+6y=30.

Formula used:

Perform following steps to find the slope and y-intercept of a equation:

Step 1: First convert the equation in slope-intercept form, that is y=mx+b

Step 2: compare obtained equation with y=mx+b.

Where, m is the slope of the line and (0,b) is y-intercept.

Calculation:

Consider the provided equation,

7x+6y=30

As, the standard slope-intercept form is y=mx+b

Where, m is the slope of the line and (0,b) is y-intercept.

Subtract 7x from both sides of 7x+6y=30:

7x+6y7x=7x+30

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