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

y = x + 3

y = x² + 3x

y = x² - 3x

y² - 3y = x

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