(4,9),m=5/8?

Question:find the equation of a line containing the given point and having the given slope

---

Answers:
Well, the equation is: y = mx + b
The slope is m: 5/8

We need to find the y-intercept, b.

Substitute 4 for x and 9 for y. So your equation now looks like:

9 = (5/8)(4) + b

Simplified, the equation is:

9 = 20/8 + b or 9 = 2 1/2 + b

We now have to solve for b:

b = 9 - 2 1/2

So, b = 6 1/2 or 6.5

The final slope-intercept equation is:
y = 5/8x + 6 1/2

---

x-y-23/2=0

---

(x,y) = (4,9). when x = 4, y = 9

y = mx + b
y = (5/8)x + b

substitute x = 4 and y = 9 to find b...

9 = (5/8)(4) + b

9 = 5/2 + b

b = 13/2

ANSWER... y = (5/8)x + 13/2

---

More Related Questions & Answers...

• Help please I got this homework and I'm in grade four. PLEASE HELP!?
• OUCH!Algebra...I need help with linear equations, slopes,how do I find the slopes of the line that contains?
• Alice Paul Womens History Thesis and ideas?
• The Reconstruction Era ended when congressional Democrats agreed to the election of Rutherford B. Hayes,?
• What is the nature of a nurse's job?
• 10 famous filipino chemist & 10 famous foreign chemist?
• How can a project manager be sure the he has chosen the correct metrics to assess project performance?
• Quadratic Formula?
• Can you show me how to do this? I am trying to double check some answers to make sure I was doing this right?
• Can you explain briefly how the internet started in just a 5-10 sentences.?