SSAT Upper Level Math : How to find the equation of a parallel line

Example Questions

Example Question #221 : Geometry

Find the equation of the line that goes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

We can then plug in the given point and the slope into the equation of a line to find the y-intercept.

Now, we can write the equation of the line.

Example Question #222 : Geometry

Find the equation of the line that passes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

Now, we can plug in the point given by the question to find the y-intercept.

From this, we can write the following equation:

Example Question #223 : Geometry

Find the equation of the line that passes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

Next, plug in the point given by the question to find the y-intercept of the line.

Now, we know that the equation of the line must be .

Example Question #224 : Geometry

Find the equation of the line that passes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

Next, plug in the point given by the question to find the y-intercept of the line.

Now, we know the equation of the line must be .

Example Question #11 : How To Find The Equation Of A Parallel Line

Find the equation of the line that passes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

Next, plug in the point given by the question to find the y-intercept of the line.

Now, we can write the equation for the line:

Example Question #12 : How To Find The Equation Of A Parallel Line

Find the equation of the line that passes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

Next, plug in the point given by the question to find the y-intercept of the line.

Now, we knwo the equation of the line must be .

Example Question #13 : How To Find The Equation Of A Parallel Line

Find the equation of the line that passes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

Next, plug in the point given by the question to find the y-intercept of the line.

Thus, the equation of the line must be .

Example Question #14 : How To Find The Equation Of A Parallel Line

Find the equation of the line that passes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

Next, plug in the point given by the question to find the y-intercept of the line.

The equation of the line is .

Example Question #181 : Lines

Find the equation of the line that passes through the point  and is parallel to the line with the equation .

Explanation:

Because the two lines are parallel, we know that the slope of the line we need to find must also be .

Next, plug in the point given by the question to find the y-intercept of the line.

The equation of the line is .

Example Question #182 : Lines

Find the equation of the line that passes through the point  and is parallel to the line with the equation .