All Intermediate Geometry Resources
Example Questions
Example Question #33 : Other Lines
Find the equation of a line passing through the points and .
None of these.
To find the equation of a line passing through these points we must find a line with that same slope. Start by finding the slope between the two points and then use the point slope equation to find the equation of the line.
slope:
Now use the point slope equation:
*make sure you use the SAME coordinate pair when substituting x and y into the point slope equation.
Example Question #34 : Other Lines
Find the equation of a line that goes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
Next, find the y-intercept of the line by plugging in of the points into the semi-completed formula.
Plugging in yields the following:
Solve for .
The equation of the line is then .
Example Question #41 : Other Lines
Find the equation of a line that goes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
Next, find the y-intercept of the line by plugging in of the points into the semi-completed formula.
Plugging in yields the following:
Solve for .
The equation of the line is then .
Example Question #42 : Other Lines
Find the equation of a line that goes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
Next, find the y-intercept of the line by plugging in of the points into the semi-completed formula.
Plugging in yields the following:
Solve for .
The equation of the line is then .
Example Question #43 : Other Lines
Find the equation of a line that goes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
Next, find the y-intercept of the line by plugging in of the points into the semi-completed formula.
Plugging in yields the following:
Solve for .
The equation of the line is then .
Example Question #44 : Other Lines
Find the equation of the line that goes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
The y-intercept is since that is given as one of the points on the line.
The line must have the equation .
Example Question #45 : Other Lines
Find the equation of the line that goes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
Next, find the y-intercept of the line by plugging in of the points into the semi-completed formula.
Plugging in yields the following:
Solve for .
The equation of the line is then .
Example Question #46 : Other Lines
Find the equation of the line that goes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
Next, find the y-intercept of the line by plugging in of the points into the semi-completed formula.
Plugging in yields the following:
Solve for .
The equation of the line is then .
Example Question #21 : How To Find The Equation Of A Line
Find the equation of the line that goes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
Since the slope of the line is undefined, this must be just a vertical line with the equation .
Example Question #22 : How To Find The Equation Of A Line
Find the equation of the line that passes through the points and .
Recall that the slope-intercept form of a line:
,
where and .
First, find the slope of the line by using the following formula:
Since the slope is , the line is a horizontal line with the equation .