IDENTIFYING X AND Y INTERCEPTS FROM AN EQUATION

x-intercept :

The point where the curve crosses the x-axis is known as x-intercept.

y-intercept :

The point where the curve crosses the y-axis is known as y-intercept.

To find x-intercept, we have to apply y = 0
To find y-intercept, we have to apply x = 0.

Find the x and y intercepts and graph each.

Problem 1 :

5y + 4x = 20

Solution :

Consider the following equation :

5y + 4x = 20

x - intercept :

Put y = 0

5(0) + 4x = 20

4x = 20

x = 20/4

x = 5

y - intercept :

Put x = 0

5y + 4(0) = 20

5y = 20

y = 20/5

y = 4

So, x and y intercepts are (5, 0) and (0, 4).

Problem 2 :

-3y + x = 3

Solution :

Consider the following equation :

-3y + x = 3

x - intercept :

Put y = 0

-3(0) + x = 3

x = 3

y - intercept :

Put x = 0

-3y + 0 = 3

-3y = 3

-y = 3/3

y = -1

So, x and y intercepts are (3, 0) and (0, -1).

Problem 3 :

-2y + 4x = -8

Solution :

Consider the following equation :

-2y + 4x = -8

y-intercept :

Put x = 0

-2y + 4(0) = -8

-2y = -8

y = -8/-2

y = 4

x-intercept :

Put y = 0

-2(0) + 4x = -8

4x = -8

x = -8/4

x = -2

So, x and y intercepts are (-2, 0) and (0, 4).

Problem 4 :

Identify the slope and y – intercept in y = 4x - 8

Solution :

Given, y = 4x - 8

The given equation is in slope intercept form, by comparing the given equation with slope intercept form (y = mx + b), we get

Slope (m) = 4 and y-intercept = -8.

IDENTIFYING X AND Y INTERCEPTS FROM AN EQUATION

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