SOLUTION: write an equation in slope-intercept form that satisfies each condition. slope = 3/4 passes through (-6,9)

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Question 215129: write an equation in slope-intercept form that satisfies each condition.
slope = 3/4 passes through (-6,9)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation in slope-intercept form that satisfies each condition.
slope = 3/4 passes through (-6,9)

Step 1. The slope intercept form is given a y=mx+b where m is the slope and b is the y-intercept at point (0,b).

Step 2. Let m=3%2F4

y=3x%2F4%2Bb

Step 3. To find b, let x=-6 and y=9 since the point (-6,9) lies on the line.

9=3%2A%28-6%29%2F4%2Bb

9=-18%2F4%2Bb

b=%2836%2B18%29%2F4=54%2F4=27%2F2

Step 4. ANSWER. The equation is y=3x%2F4%2B27%2F2

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J