Find the x-intercept of the following equation:

The x-intercept is the point where the line crosses the x-axis. At this point, the y-value must be 0.

To find the x-intercept, plug in "0" for y and solve for x.

Now finish up by dividing by 2:

We can check our answer by plugging it back into our equation:

Everything looks good, so our answer is -8.5

Start by finding the slope of the line by using any two points.

Recall how to find the slope of a line:

Using the points , we can find the slope.

Now, we can write the following equation:

To find the value of , the y-intercept, plug in any point into the equation above. Using the point , we can write the following equation:

Thus, the complete equation for this line is .

Find the x intercept of the following linear equation.

x intercepts occur when y=0, in other words, when we have no height.

So, plug in 0 for y and solve for x

So our x intercept is negative one half.

Find the y intercept of the following linear equation.

The y-intercept occurs when x is 0. Find it by plugging in 0 for x and solving for y.

So our answer is 1.5

The given equation is written in slope-intercept form, and the slope of the line is . The slope of a perpendicular line is the negative reciprocal of the given line. The negative reciprocal here is . Therefore, the correct equation is:

The equation  can be rewritten as follows:

This is the slope-intercept form, and the line has slope . 

The line of the equation  therefore has slope

Since a line perpendicular to this one must have a slope that is the opposite reciprocal of , we are looking for a line with slope .

The slopes of the lines in the four choices are as follows:

; 

; 

: 

:  - this is the correct one.

 can be rewritten as follows:

Any line with equation  is vertical and has undefined slope; a line perpendicular to this is horizontal and has slope 0, and can be written as . The only choice that does not have an  is , which can be rewritten as follows:

This is the correct choice.

The equation  can be rewritten as follows:

This is the slope-intercept form, and the line has slope . 

The line of the equation  has slope

Since a line perpendicular to this one must have a slope that is the opposite reciprocal of  , we are looking for a line that has slope .

The slopes of the lines in the four choices are as follows:

: 

: 

: 

:  - the correct choice.

First, we need to find the slope of the above line. 

The slope of a line. given two points  can be calculated using the slope formula:

Set :

The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 3, which would be . Since we want this line to have the same -intercept as the first line, which is the point , we can substitute  and  into the slope-intercept form of the equation:

We calculate the slopes of the lines using the slope formula.

The slope of line  is 

.

The slope of line  is 

.

The lines have the same slope, so either they are distinct parallel lines or one and the same line. One way to check for the latter situation is to find the slope of the line connecting one point on  to one point on  - if the slope is also , the lines coincide. We will use  and :

.

The lines are therefore distinct and parallel.