How to graph a line in pre-algebra

Help Questions

Math › How to graph a line in pre-algebra

Questions 1 - 4

1

What is the slope of the line that contains the points and ?

$m=-\frac{19}{48}$

$m=\frac{13}{22}$

Explanation

To find the slope of a line with two points we must properly plug the points into the slope equation:

We must then assign the variables and .

In this case we will plug in for and for .

Plugging the points into the equation yields $m=\frac{3-13}{61-22}$ .

Perform the math to arrive at $m=\frac{-19}{48}$ .

The answer is $m=-\frac{19}{48}$ .

2

What is the slope of the line that contains the points

and

$m=\frac{1}{2}$

Explanation

To find the slope of a line with two points you must properly plug the points into the slope equation for two points which is

$m=\frac{Y-y}{X-x}$

We must then properly assign the points to the equation as and .

In this case we will make our and our .

Plugging the points into the equation yields

$m=\frac{-7-12}{9-8}$

Perform the math to arrive at

$m=\frac{-19}{1}$

The answer is .

3

What is the slope of the line ?

Explanation

In the standard form of a line the slope is represented by the variable .

In this case the line has a slope of .

The answer is .

4

The equation of a line is .

What are the slope and the y-intercept?

Slope:

y-intercept:

Slope:

y-intercept:

Slope: $\frac{1}{4}$

y-intercept:

Slope: $\frac{1}{4}$

y-intercept:

Explanation

The equation of the line is written in slope-intercept form, , where is the slope and is the y-intercept. In this example, the y-intercept is a negative number.

Return to subject