Intercepts and Curves - Math

The standard formula for a circle is , with the center of the circle and the radius.

Plug in our given information.

This describes what we are looking for. This equation is not one of the answer choices, however, so subtract from both sides.

First, we find the slope between the two points:

and

Plug the slope and one point into the slope-intercept form to calculate the intercept:

Thus the equation between the points becomes .

First calculate the slope:

The standard equation for a line is .

In this equation, is the slope of the line, and is the -intercept. All points on the line must fit this equation. Plug in either point (1,3) or (2,2).

Plugging in (1,3) we get .

Therefore, .

Our equation for the line is now:

To find the -intercept, we plug in :

Thus, the -intercept the point (4,0).

We want to find the x-intercept, which is the point at which the graph crosses the x-axis. Every point on the x-axis has a y-value of 0. Thus, to find the x-intercept we just need to plug 0 in for y.

Thus, .

Dividing both sides by , we get .

To find the y-intercept, let equal 0.

We can then solve for the value of .

The y-intercept will be .

To find the y-intercept, we set the value equal to zero and solve for the value.

Since the y-intercept is a point, we will need to convert our answer to point notation.

To find the x-intercept of an equation, set the value equal to zero and solve for .

Subtract from both sides.

Multiply both sides by .

Since the x-intercept is a point, we will want to write it in point notation:

To find the y-intercept, we set the value equal to zero and solve for the value of .

Since the y-intercept is a point, we want to write our answer in point notation: .

To find the x-intercept of an equation, set the value equal to zero and solve for .

Subtract from both sides.

Divide both sides by .

Since the x-intercept is a point, we will write our answer in point notation: .

To find the x-intercept, set y equal to zero and solve:

Subtract from both sides:

Divide both sides by to isolate x:

To find the y-intercept, set the x value to zero and solve:

To solve for the y-intercept, set the x value equal to zero:

To solve for the x-intercept, set the y value equal to zero:

Subtract from both sides:

Isolate for so that the equation is in slope-intercept form .

The is the y-intercept, which in this case, is .

Factor out an from the original equation so that it is .

Set that expressions equal to so that you can find the -intercepts. Your answers are and .

Put the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

-5y = 3x + 10

y = (-3/5)x + 10/(-5)

Now we can easily see that is the -intercept.

Take out a from the original equation so that you can set the expression equal to and get your -intercepts and .

The y-intercept of a curve is the value of that curve when the x-coordinate is . Thus, we plug in to our equation, yielding .

When looking at an equation in standard form, is our y-intercept.

Or, set the value equal to and solve.