Question

If you help me ilysm

Answer 1

Answer:

x-intercept

Step-by-step explanation:

The x-intercept is the point on the line that crosses the x-axis, shown in the graph in the picture.

Answer 2

Answer:

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation \displaystyle y=3x - 1y=3x−1.

To find the x-intercept, set \displaystyle y=0y=0.

y

=

3

x

−

1

0

=

3

x

−

1

1

=

3

x

1

3

=

x

(

1

3

,

0

)

x

-intercept

To find the y-intercept, set \displaystyle x=0x=0.

y

=

3

x

−

1

y

=

3

(

0

)

−

1

y

=

−

1

(

0

,

−

1

)

y

-intercept

We can confirm that our results make sense by observing a graph of the equation as in Figure 10. Notice that the graph crosses the axes where we predicted it would.

This is an image of a line graph on an x, y coordinate plane. The x and y-axis range from negative 4 to 4. The function y = 3x – 1 is plotted on the coordinate plane

Figure 12

HOW TO: GIVEN AN EQUATION, FIND THE INTERCEPTS.

Find the x-intercept by setting \displaystyle y=0y=0 and solving for \displaystyle xx.

Find the y-intercept by setting \displaystyle x=0x=0 and solving for \displaystyle yy.

EXAMPLE 4: FINDING THE INTERCEPTS OF THE GIVEN EQUATION

Find the intercepts of the equation \displaystyle y=-3x - 4y=−3x−4. Then sketch the graph using only the intercepts.

SOLUTION

Set \displaystyle y=0y=0 to find the x-intercept.

y

=

−

3

x

−

4

0

=

−

3

x

−

4

4

=

−

3

x

−

4

3

=

x

(

−

4

3

,

0

)

x

-intercept

Set \displaystyle x=0x=0 to find the y-intercept.

y

=

−

3

x

−

4

y

=

−

3

(

0

)

−

4

y

=

−

4

(

0

,

−

4

)

y

-intercept

Plot both points, and draw a line passing through them as in Figure 11.

This is an image of a line graph on an x, y coordinate plane. The x-axis ranges from negative 5 to 5. The y-axis ranges from negative 6 to 3. The line passes through the points (-4/3, 0) and (0, -4).

Figure 13