# ACT Math : How to find the slope of a line

## Example Questions

← Previous 1

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

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

0.5

-0.5

-2

2

0.5

Explanation:

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

### Example Question #113 : Coordinate Geometry

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

0.5

–5/2

2

–0.5

–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 #1 : Other Lines

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

–1/4

1/8

1/4

1/2

–1/8

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 #115 : Coordinate Geometry

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 #116 : 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 #117 : Coordinate Geometry

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 #91 : Algebra

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 #119 : Coordinate 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 ?