Question

What is the x-intercept and the y-intercept of the graph of 6x - 12y = 36? Please explain your answer in full sentences.

Answer 1

Answer:

Sentence Fram: I found x-intercept by substitute y by 0 and I found y-intercept by substitute x by 0

x-intercept = (6, 0), y-intercept = (0, -3) ⇒ C

Step-by-step explanation:

• To find the x-intercept of a line, equate y in its equation by 0

• To find the y-intercept of a line, equate x in its equation by 0

∵ The equation of the graph is 6x - 12y = 36

→ Equate y by 0 to find x

∵ y = 0

∴ 6x - 12(0) = 36

∴ 6x - 0 = 36

∴ 6x = 36

→ Divide both sides by 6 to find x

∴ x = 6

∴ The x-intercept = (6, 0)

→ Equate x by 0 to find y

∵ x = 0

∴ 6(0) - 12y = 36

∴ 0 - 12y = 36

∴ -12y = 36

→ Divide both sides by -12 to find y

∴ y = -3

∴ The y-intercept = (0, -3)

∴ Sentence Fram: I found x-intercept by substitute y by 0 and I found

   y-intercept by substitute x by 0

∴ x-intercept = (6, 0), y-intercept = (0, -3)