What is the slope of the equation 3x=-y-5

Question

It asks what the slope of the question is

 

Answer 1

3x = -y - 5

 

You can rewrite this equation as

 

y = -3x - 5

 

This has the form 

 

y = mx + b

 

where m is the slope, so the slope is -3.

Answer 2

Karl, the easiest way to find the slope of a line is to put the line in one of the three normal forms for a line.

 

Slope-intercept form:

 

y = mx + b, where m is the slope and b is the y-component of the y-intercept.

 

Point-slope form:

 

y - y₁ = m * (x - x₁), where m is the slope of the line and (x₁, y₁) is a given point.

 

Standard form:

 

Ax + By = C, where the slope is given by -A / B.

 

Convert your line into the slope-intercept form:

 

3x = -y -5

 

Add y to both sides:

 

3x + y = -5

 

Subtract 3x from both sides:

 

y = -3x - 5

 

The line is now in the slope-intercept form. The slope of the line is -3.

 

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