Question

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

whole numbers or as improper fractions in simplest form.

Answer 1

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

X-intercept:-

• y=0

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

`\\ \sf\longmapsto 3x=32`

`\\ \sf\longmapsto x=(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

• (32/3, 0)
• (0, 8)

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