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Chapter 2: Q16. (page 78)

State the slope and y-intercept of the graph of each equation.

3x+5y-30=0

Short Answer

Expert verified

The slope of the given line is -35 and the y-intercept of the given line is 6.

Step by step solution

01

– State the concept

The general equation of a straight line in slope-intercept form is given as y=mx+c, where m is the slope and c is the y-intercept.

02

– List the given data

The given equation of the line is 3x+5y-30=0.

03

– Identify the slope and intercept

Convert the given equation to slope-intercept form as follows:

3x+5y-30=0 (Given equation)

3x+5y-30-5y=0-5y (Subtract 5y from both sides)

3x-30=-5y (Simplify)

-5y=3x-30 (Rearrange)

-5y-5=3x-30-5(Divide both sides by -5)

y=-35x+6 (Simplify)

So, the given equation in slope-intercept form is y=-35x+6.

Comparing the obtained equation, y=-35x+6 with y=mx+c, m=-35 and c=6.

This implies that the slope of the given line is -35 and the y-intercept of the given line is 6.

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Most popular questions from this chapter

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater,

B. the quantity in Column B is greater,

C. the two quantities are equal, or

D. the relationship cannot be determined from the information given.

The average (arithmetic mean) of three integers x, y, and z is 30.

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Answer the question that was posed at the beginning of the lesson.

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Include the following in your answer:

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an interpretation of the graph's intercepts in terms of the amount of time

Lolita spends on each subject.

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