The following equation is already written in slope-intercept form.

The y-intercept is the variable .

Since the value is absent, the y-intercept is zero.

The answer is:  

Recall that at the x-intercept, the y-coordinate will be . Thus, plug in  for  in the given equation.

The coordinates of the x-intercept is located at .

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.