If we rearrange the second equation it is the same as the first equation. They are the same line.

In finding the equation of the line given its slope and a point through which it passes, we can use the slope-intercept form of the equation of a line:

, where is the slope of the line and is its -intercept.

Since the problem gives us the slope of the line , we just need to use the point that is given to us to find the -intercept. Plug in known values for and taken from the given point into the equation and solve for to find the -intercept:

Multiply:

Add to each side of the equation:

Now, we can write the final equation by plugging in the given slope and the -intercept :

In finding the equation of the line given its slope and a point through which it passes, we can use the slope-intercept form of the equation of a line:

, where is the slope of the line and is its -intercept.

Since the problem gives us the slope of the line , we just need to use the point that is given to us to find the -intercept. Plug in known values for and taken from the given point into the equation and solve for to find the -intercept:

Multiply:

Subtract from each side of the equation:

Now, we can write the final equation by plugging in the given slope and the -intercept :

The question gives us both the slope and the -intercept of the line. Remember that represents the slope, and represents the -intercept to write the following equation:

Alternatively, if you did not realize that the problem gives you the -intercept, you could solve it by using the slope-intercept form of the equation of a line:

, where is the slope of the line and is its -intercept.

Since the problem gives us the slope of the line , we would just need to use the point that is given to us to find the -intercept. We could plug in the known values for and taken from the given point into the equation and solve for to find the -intercept:

Multiplying leaves us with:

.

We could then substitute in the given slope and the -intercept into the equation to arrive at the correct answer:

If P1(1, 3) and P2(3, 6), then calculate the slope by m = rise/run = (y2 – y1)/(x2 – x1) = 3/2

Use the slope and one point to calculate the intercept using y = mx + b

Then convert the slope-intercept form into standard form.

The question gives us both the slope and the -intercept of the line, allowing us to write the following equation by inserting those values into the slope-intercept form of the equation of a line, :

Alternatively, if you did not realize that the problem gives you the -intercept, you could solve it by using the slope-intercept form of the equation of a line. Since the problem gives us the slope of the line , we would just need to use the point that is given to us to find the -intercept. We could plug in the known values for and taken from the given point into the equation and solve for to find the -intercept:

Multiplying leaves us with:

We could then substitute in the given slope and the -intercept into the equation to arrive at the correct answer:

First, notice that our -intercept for this line is ; we can tell this because one of the points, , is on the -axis since it has a value of for .

Now, we need to find the slope of the line. We can do that by using the slope equation:

We can substitute in the values of the provided points—,, and —and then solve for the slope of the line that connects them:

Now, put the two pieces of information together and substitute them into the equation to solve the problem:

First, notice that our -intercept for this line is ; we can tell this because one of the points, , is on the -axis since it has a value of for .

Now, we need to find the slope of the line. We can do that by using the slope equation:

We can substitute in the values of the provided points—,, and —and then solve for the slope of the line that connects them:

Now, put the two pieces of information together and substitute them into the equation to solve the problem:

In finding the equation of the line given its slope and a point through which it passes, we can use the slope-intercept form of the equation of a line:

, where is the slope of the line and is its -intercept.

Since the problem gives us the slope of the line , we just need to use the point that is given to us to find the -intercept. Plug in known values for and taken from the given point into the equation to find the -intercept:

Multiply:

Subtract from each side of the equation:

Now that you've solved for , you can plug the given slope and the -intercept into the slope-intercept form of the equation of a line to figure out the answer:

First, notice that our -intercept for this line is ; we can tell this because one of the points, , is on the -axis since it has a value of for .

Now, we need to find the slope of the line. We can do that by using the slope equation:

We can substitute in the values of the provided points—,, and —and then solve for the slope of the line that connects them:

Now, put the two pieces of information together and substitute them into the equation to solve the problem: