Question

The graph of which of the following equation has x-intercept of 3 and 0 ?

Answer 1

Answer:

From the given graph , The equation y =  x² - 3 x has x-intercept of 3 , 0

Step-by-step explanation:

Given as :

Let The standard equation of line

y = m x + c

where m is the slope of line and c is  y-intercept

For, x-intercept , put y = 0

For y-intercept , put x = 0

A) y = x + 3

for x-intercept , y = 0

So, 0 = x + 3

i.e x = - 3

B) y = x² + 3 x

for x-intercept , y = 0

So, 0 = x² + 3 x

i.e 0 =  x² + 3 x

Or,  x ( x + 3) = 0

Or, x = 0 , x = - 3

C) y = x² - 3 x

for x-intercept , y = 0

So, 0 = x² - 3 x

i.e 0 =  x² - 3 x

Or,  x ( x - 3) = 0

Or, x = 0 , x =  3

D) x = y² - 3 y

for x-intercept , y = 0

So, x = 0 - 0

i.e x = 0

Hence, From the given graph , The equation y =  x² - 3 x has x-intercept of 3 , 0 Answer