How to find x or y intercept - Math

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.

To solve for the x-intercept, we set the value equal to and solve.

To find the y-intercept, substitute zero for x and solve for y:

The y-intercept is at point .

To find the x-intercept, substitute zero for y and solve for x:

The x-intercept is at point .

To find the x-intercept, we set and solve.

Subtract from both sides.

Divide both sides by .

Simplify.