Question

Find the x- and y-intercepts of the graph of 3x + 4y = 32. State your answers as

Answer 1

$\\ \sf\longmapsto 3x+4y=32$

X-intercept:-

• y=0

$\\ \sf\longmapsto 3x+4(0)=32$

$\\ \sf\longmapsto 3x=32$

$\\ \sf\longmapsto x=\dfrac{32}{3}$

• (32/3,0)

Y-intercept:-

• x=0

$\\ \sf\longmapsto 3(0)+4y=32$

$\\ \sf\longmapsto 4y=32$

$\\ \sf\longmapsto y=8$

• (0,8)

Answer 2

Answer:

• (32/3, 0)
• (0, 8)

Step-by-step explanation:

The x- intercept is the point when y = 0:

• 3x + 4*0 = 32 ⇒ 3x = 32 ⇒ x = 32/3

The y- intercept is the point when x = 0:

• 3*0 + 4y = 32 ⇒ 4y = 32 ⇒ y = 8