How to find the slope of a line - ACT Math

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

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)

Put the equation in slope-intercept form:

y = mx + b

-2y = -6x +14

y = 3x – 7

The slope of the line is represented by M; therefore the slope of the line is 3.

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.

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.

The equation of a line is:

y = mx + b, where m is the slope

4_x_ – 16_y_ = 24

–16_y_ = –4_x_ + 24

y = (–4_x_)/(–16) + 24/(–16)

y = (1/4)x – 1.5

Slope = 1/4

Slope is found by dividing the difference in the -coordinates by the difference in the -coordinates.

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.

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.

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.

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

To begin, it is easiest to find the slope of a line by putting it into the form . is the slope, so you can immediately find this once you have the format correct. Thus, solve our equation for :

Now, recall that perpendicular lines have slopes of opposite sign and reciprocal numerical value. Thus, if our slope is , its perpendicular paired line will have a slope of .

The slope of an equation can be calculated by simplifying the equation to the slope-intercept form , where m=slope.

Since , we can solve for y. In shifting the 5 to the other side, we are left with .

This can be further simplified to

, leaving us with the slope intercept form.

In this scenario, , so slope .

The easiest way to find the slope of a line based on its equation is to put it into the form . In this form, you know that is the slope.

Start with your original equation .

Now, subtract from both sides:

Next, subtract from both sides:

Finally, divide by :

This is the same as:

Thus, the slope is .

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

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)

Put the equation in slope-intercept form:

y = mx + b

-2y = -6x +14

y = 3x – 7

The slope of the line is represented by M; therefore the slope of the line is 3.

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.

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.

The equation of a line is:

y = mx + b, where m is the slope

4_x_ – 16_y_ = 24

–16_y_ = –4_x_ + 24

y = (–4_x_)/(–16) + 24/(–16)

y = (1/4)x – 1.5

Slope = 1/4