The -intercept of a line is the point at which it intersects the -axis; its -coordinate at this point is 0.

The -coordinate of the line of the equation

can be found by substituting 0 for  in the equation and solving for :

The -intercept of this line is at .

The line with equation is a horizontal line with its -intercept at , so the -intercept line of the equation has its -intercept at as well.

Both lines indeed have the same -intercept.

Both equations are given in the slope-intercept form , in which the stand-alone constant  is the -coordinate of the -intercept. In both equations, this value is 117, so  is the -intercept of both equations.

Recall the point-slope form of the equation of a line that has a slope of  and passes through the point :

Plug in the given point and the given slope.

Rearrange the equation into slope-intercept form.

The y-intercept for this line is .

The -intercept of the graph of a function is the point at which it intersects the -axis. The -coordinate is 0, so the -coordinate can be found by substituting 0 for  in the equation and solving for :

Divide both sides by 8:

The -intercept of the graph is at the point .

The -intercept of the graph of a function is the point at which it intersects the -axis. The -coordinate is 0, so the -coordinate can be found by substituting 0 for  in the equation and solving for :

Divide both sides by 7:

The -intercept of the graph is at the point .

Write the equation in slope-intercept form:

We were given the -intercept, , which means :

Given the -intercept is , the point existing on the line is . Substitute this point into the slope-intercept equation and then solve for  to find the slope:

Add  to each side of the equation:

Divide each side of the equation by :

Substituting the value of  back into the slope-intercept equation, we get:

By subtracting  on both sides, we can rearrange the equation to put it into standard form:

To find the x-intercept, we need to find the value of  when .

So we first set  to zero.

turns into

Lets subtract  from both sides to move  to one side of the equation.

After doing the arithmetic, we have

.

Divide by  from both sides

To find the y-intercept, we set 

So

turns into

.

After doing the arithmetic we get

.

The x-intercept can be found where 

So

turns into

.

Lets subtract  from both sides to solve for .

After doing the arithmetic we have

.

Divide both sides by 

Rewrite the intercepts in terms of points.

X-intercept of 1: .

Y-intercept of 2: 

Write the slope-intercept form for linear equations.

Substititute the y-intercept into the slope-intercept equation.

Substitute both the x-intercept point and the y-intercept into the equation to solve for slope.

Rewrite by substituting the values of  and  into the y-intercept form.