Question

For the linear relation y= 2x + 5, the x-intercept is -2/5
True
False​

Answer 1

False

Explanation:

=> y = 2x + 5

=> y - 2x = 5

=> - 2x + y = 5

=> (-2x + y) = 5

=> (-2/5)x + y/5 = 1

=> x/(-5/2) + y/5 = 1, it is in form of x/a + y/b = 1, a is intercept of x.

So, here, x intercept is -5/2.

Method 2;

=> y = 2x + 5

=> y = 2(x + 5/2)

=> y = 2{x - (-5/2)}, says, x intercept is - 5/2 & not - 2/5

Answer 2

False

Explanation:

Every linear equation in two variables can be written as y=mx+c.

Here, for each value of x there is a unique value of y.

Also, x & y are in direct variation.

Hence, xy will always remain constant.

Consequently, the graph will maintain a definite slope making it a straight line.

∴ The given statement is false.