If we have two points, we can find the slope of the line between them by using the definition of the slope:

where the triangle is the greek letter 'Delta', and is used as a symbol for 'difference' or 'change in'

Now that we have our slope (, simplified to), we can write the equation for slope-intercept form:

whereis the slope andis the y-intercept

In order to find the y-intercept, we simply plug in one of the points on our line

So our equation looks like

Because we have the desired slope and the y-intercept, we can easily write this as an equation in slope-intercept form (y=mx+b).

This gives us. Because this does not match either of the answers in this form (y=mx+b), we must solve the equation for x. Adding 5 to each side gives us. We can then multiple both sides by 3 and divide both sides by 4, giving us.

If the y-intercept of a line is, then the-value iswhenis zero. Write the point:

If the拦截的a line is, then the-value iswhenis zero. Write the point:

Use the following formula for slope and the two points to determine the slope:

Use the slope intercept form and one of the points, suppose, to find the equation of the line by substituting in the values of the point and solving for, the-intercept.

Therefore, the equation of this line is.

The slope intercept form can be written as:

whereis the slope andis the y-intercept. Plug in the values of the slope and-intercept into the equation.

The correct answer is:

The-intercept is the value ofwhen thevalue is equal to zero. The actual point located on the graph for an拦截的is. The slope,, is 2.

Write the slope-intercept equation and substitute the point and slope to solve for the-intercept:

Plug the slope and-intercept back in the slope-intercept formula:

First, find the slope of the line using the slope formula:

.

Next we plug one of the points, and the slope, into the point-intercept line forumula:

where m is our slope.

Thenand when we plug in point (2,3) the formula readsthen solve for b.

.

To find the equation of the line, we plug in our m and b into the slope-intercept equation.

So,or simplified,.

To determine the equation, first find the slope:

We want this equation in slope-intercept form,. We knowandbecause we have two coordinate pairs to choose from representing anand a. We knowbecause that represents the slope. We just need to solve for, and then we can write the equation.

We can choose either point and get the correct answer. Let's choose:

multiply ""

addto both sides

This means that theform is

To determine the equation, first find the slope:

We want this equation in slope-intercept form,. We knowandbecause we have two coordinate pairs to choose from representing anand a. We knowbecause that represents the slope. We just need to solve for, and then we can write the equation.

We can choose either point and get the correct answer. Let's choose:

multiply ""

subtractfrom both sides

This means that theform is

To determine the equation, first find the slope:

We want this equation in slope-intercept form,. We knowandbecause we have two coordinate pairs to choose from representing anand a. We knowbecause that represents the slope. We just need to solve for, and then we can write the equation.

We can choose either point and get the correct answer. Let's choose:

multiply ""

subtractfrom both sides

This means that theform is

To determine the equation, first find the slope:

We want this equation in slope-intercept form,. We knowandbecause we have two coordinate pairs to choose from representing anand a. We knowbecause that represents the slope. We just need to solve for, and then we can write the equation.

We can choose either point and get the correct answer. Let's choose:

multiply ""

subtractfrom both sides

This means that theform is