227k views
3 votes
The slope of the line represented by y = 5x is___

The slope of the line represented by y = 3 is ___
The slope of the line represented by x = 4 is___

User AeroSun
by
7.8k points

2 Answers

2 votes

Answer:

5, 0, Undefined.

Explanation:

User Davykiash
by
7.7k points
2 votes

Answer:

1) 5

2) 0

3) Undefined

The Slope

Slope is a measure of steepness of a line. In Algebra 1, It is how much the y-value changes when the x-value increases by 1.

y-intercept is the y-value of the line when it intersects with the y-axis, or the y-value of the line when the x-value of the line is 0.

Slope-Intercept Form

This form is the most common form for expressing linear equations for graphing and is used when the slope and y-intercept is known.

Form

y = mx + b

Lets break it down. y and x stay as a variable when graphing is it only substituted for a constant when solving for x-intercept, etc.

m is the slope.

b is the y-intercept.

Q)

Q1

y = mx + b

y = 5x

Because 5 is the m value, the slope is 5.

Q2

y = mx + b

y = 3

Think about it. What cancels out any real value? Multiplying it by 0. If there is no coefficient behind the x, it means the slope is 0.

y = 0x + 3 = y = 3

Because 0 is the m value, the slope is 0.

When y is equal to a constant after solving, it is a horizontal line with the y-intercept of the constant it is equal to (in this case 3).

Q3

y = mx + b

x = 5

The slope is undefined.

When x is equal to a constant after solving, it is a straight vertical line with the x-intercept of the constant it is equal to (in this case 5). The slope is always undefined.

User Imran Rizvi
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.