Annsgrayidn
Answered

IDNLearn.com provides a user-friendly platform for finding and sharing accurate answers. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

please help me with math !!

the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.

a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.​

Please Help Me With Math The Diagram Shows Two Parallel Lines OP And RQ Straight Line PQ Is Parallel To The Yaxis And O Is The Origin A Find The Equation Of The class=

Sagot :

Mhanifaidn

Answer:

  • a) x = 4
  • b) y = 1.25x + 15
  • c) (-12, 0)

Step-by-step explanation:

a) PQ is parallel to the y-axis and contains point (4, 5).

It means its equation is:

  • x = 4

b) RQ is parallel to OP.

Parallel lines have equal slopes.

Find the slope of OP:

  • m = 5/4 = 1.25

RQ has slope of 1.25 and passes through (- 8, 5).

Find its equation using point-slope form:

  • y - 5 = 1.25(x - (-8))
  • y - 5 = 1.25x + 10
  • y = 1.25x + 15

c) The x-intercept is determined at y = 0:

  • 0 = 1.25x + 15
  • 1.25x = - 15
  • x = - 15/1.15
  • x = - 12
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.