How to find x and y intercepts on a graph


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Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.

1. y=5x−10
2. y=2x−3
3. x+4y=12
4. x−y=4
5. y=−2x
6. y−4x=0
7. 0.3x−0.4y=0.7
8. y= 2/3 x− 1/3

Answered by admin @



Answer:

1.  y=5x-10

To find the x-intercept of the given linear equation , plug in y=0  and solve for x.

y=5x-10

0=5x-10

10=5x

x=2

Now, to find the y-intercept for the given linear equation we plug in x=0 and solve for y.

y=5x-10

y=5(0)-10

y=0-10=-10

∴ y=-10.

The ordered pairs representing the points where the line y=5x-10 crosses the axes are, (2,0) and (0, -10).

2. y=2x-3

To find the x-intercept of the given linear equation , plug in y=0  and solve for x.

y=2x-3

0=2x-3

3=2x

x=\frac{3}{2}

Now, to find the y-intercept for the given linear equation we plug in x=0 and solve for y.

y=2x-3

y=2(0)-3

y=0-3=-10

∴ y=-3.

The ordered pairs representing the points where the line y=2x-3 crosses the axes are, (\frac{3}{2} ,0) and (0, -3).

3. x+4y=12

To find the x-intercept of the given linear equation , plug in y=0  and solve for x.

x+4y=12

x+4\cdot (0)=12

x+0=12

x=12

Now, to find the y-intercept for the given linear equation we plug in x=0 and solve for y.

x+4y=12

0+4y=12

4y=12

∴ y=3.

The ordered pairs representing the points where the line x+4y=12 crosses the axes are, (12, 0) and (0, 3).

4. x-y=4

To find the x-intercept of the given linear equation , plug in y=0  and solve for x.

x-y=4

x-0=4

x=4

Now, to find the y-intercept for the given linear equation we plug in x=0 and solve for y.

x-y=4

0-y=4

y=-4

∴ y=-4.

The ordered pairs representing the points where the line x-y=4 crosses the axes are, (4, 0) and (0, -4).

5. y=-2x

To find the x-intercept of the given linear equation , plug in y=0  and solve for x.

y=-2x

0=-2x

x=0

Now, to find the y-intercept for the given linear equation we plug in x=0 and solve for y.

y=-2\cdot(0)

y=0

y=0

∴ y=0.

The ordered pairs representing the points where the line y=-2x crosses the axes is, (0, 0)

6. y-4x=0

To find the x-intercept of the given linear equation , plug in y=0  and solve for x.

y-4x=0

0-4x=0

-4x=0

x=0

Now, to find the y-intercept for the given linear equation we plug in x=0 and solve for y.

y-4x=0

y-4\cdot (0)=0

y-0=0

∴ y=0.

The ordered pairs representing the points where the line y-4x=0 crosses the axes is, (0,0)

7. 0.3x-0.4y=0.7

To find the x-intercept of the given linear equation , plug in y=0  and solve for x.

0.3x-0.4\cdot (0)=0.7

0.3x-0=0.7

x=\frac{0.7}{0.3}

x=\frac{7}{3}

Now, to find the y-intercept for the given linear equation we plug in x=0 and solve for y.

0.3\cdot(0)-0.4y=0.7

0-0.4y=0.7

-0.4y=0.7

y=-\frac{0.7}{0.4}

y=-\frac{7}{4}

The ordered pairs representing the points where the line 0.3x-0.4y=0.7 crosses the axes are, (\frac{7}{3} , 0) and (0, -\frac{7}{4} ).

8. y=\frac{2}{3}x-\frac{1}{3}

To find the x-intercept of the given linear equation , plug in y=0  and solve for x.

0=\frac{2}{3}x-\frac{1}{3}

\frac{2}{3}x=\frac{1}{3}

x=\frac{1}{3}\cdot \frac{3}{2}

x=\frac{1}{2}

Now, to find the y-intercept for the given linear equation we plug in x=0 and solve for y.

y=\frac{2}{3}\cdot (0)-\frac{1}{3}

y=0-\frac{1}{3}

y=-\frac{1}{3}

The ordered pairs representing the points where the liney=\frac{2}{3}x-\frac{1}{3} crosses the axes are,(\frac{1}{2}, 0) and (0, -\frac{1}{3} )
















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