## Example Questions

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### Example Question #1 : How To Find The Slope Of A Line

What is the slope of line 3 = 8y - 4x?

-2

0.5

-0.5

2

0.5

Explanation:

Solve equation for y. y=mx+b, where m is the slope

### Example Question #1 : How To Find The Slope Of A Line

If 2x – 4y = 10, what is the slope of the line?

–2

–0.5

0.5

–5/2

2

0.5

Explanation:

First put the equation into slope-intercept form, solving for y: 2x – 4y = 10 → –4y = –2x + 10 → y = 1/2*x – 5/2. So the slope is 1/2.

### Example Question #31 : Coordinate Geometry

What is the slope of the line with equation 4x – 16y = 24?

–1/4

–1/8

1/4

1/8

1/2

1/4

Explanation:

The equation of a line is:

y = mx + b, where m is the slope

4x – 16y = 24

–16y = –4x + 24

y = (–4x)/(–16) + 24/(–16)

y = (1/4)x – 1.5

Slope = 1/4

### Example Question #1 : Other Lines

What is the slope of a line which passes through coordinates and ?      Explanation:

Slope is found by dividing the difference in the -coordinates by the difference in the -coordinates. ### Example Question #111 : Coordinate Geometry

What is the slope of the line represented by the equation ?      Explanation:

To rearrange the equation into a format, you want to isolate the so that it is the sole variable, without a coefficient, on one side of the equation.

First, add to both sides to get .

Then, divide both sides by 6 to get .

If you divide each part of the numerator by 6, you get . This is in a form, and the is equal to , which is reduced down to for the correct answer.

### Example Question #11 : How To Find The Slope Of A Line

What is the slope of the given linear equation?

2x + 4y = -7

1/2

-2

-7/2

-1/2

-1/2

Explanation:

We can convert the given equation into slope-intercept form, y=mx+b, where m is the slope. We get y = (-1/2)x + (-7/2)

### Example Question #1 : How To Find The Slope Of A Line

What is the slope of the line:       Explanation:

First put the question in slope intercept form (y = mx + b):

(1/6)y = (14/3)x  7 =>

y = 6(14/3)x  7

y = 28x  7.

The slope is 28.

### Example Question #501 : Geometry

What is the slope of a line that passes though the coordinates and ?      Explanation:

The slope is equal to the difference between the y-coordinates divided by the difference between the x-coordinates. Use the give points in this formula to calculate the slope. ### Example Question #1 : How To Find The Slope Of A Line

What is the slope of a line running through points and ?      Explanation:

The slope is equal to the difference between the y-coordinates divided by the difference between the x-coordinates. Use the give points in this formula to calculate the slope. ### Example Question #1 : How To Find The Slope Of A Line

What is the slope of the line defined as ?      Explanation: To calculate the slope of a line from an equation of the line, the easiest way to proceed is to solve it for .  This will put it into the format , making it very easy to find the slope .  For our equation, it is: or Next you merely need to divide by : Thus, the slope is ← Previous 1

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