## Example Questions

2 Next →

### Example Question #7 : How To Find The Equation Of A Parallel Line

Which of these formulas could be a formula for a line perpendicular to the line ?      Explanation:

This is a two-step problem. First, the slope of the original line needs to be found. The slope will be represented by " " when the line is in -intercept form .   So the slope of the original line is . A line with perpendicular slope will have a slope that is the inverse reciprocal of the original. So in this case, the slope would be . The second step is finding which line will give you that slope. For the correct answer, we find the following:   So, the slope is , and this line is perpendicular to the original.

### Example Question #11 : Lines

Which of the following equations is parallel to: and goes through the point ?     Explanation:

Step 1: We need to define what a parallel line is. A parallel line has the same slope as the line given in the problem. Parallel lines never intersect, which tells us that the y-intercepts of the two equations are different.

Step 2: We need to identify the slope of the line given to us. The slope is always located in front of the .

The slope in the equation is .

Step 3: If we said that a parallel line has the same slope as the given line in the equation, the slope of the parallel equation is also .

Step 4. We need to write the equation of the parallel line in slope-intercept form: . We need to write b for the intercept because it has changed.

The equation is: Step 5: We will use the point where and . We need to substitute these values of x and y into the equation in step 4 and find the value of b.   The numbers in red will cancel out when I multiply. To find b, subtract 2 to the other side  Step 6: We put all of the parts together and make the final equation of the parallel line:

The final equation is: 2 Next → 