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Find an equation of the line having the given slope and given point?
m=6/7, (5, -1)
Please help me with this problem. Can you please show me all of your work? I understand the problem and can find the answer but the fraction is throwing me off. I need to know how to do that to complete the rest of my problems.
Thank you in advance :)
2 Answers
- 1 decade ago
Point-Slope Formula: y - y1 = m (x - x1)
**Just plug in the point and slope
y + 1 = 6/7 (x - 5)
**it changes to a plus sign because it is a double negative
Y-intercept-Slope Formula: y = mx + b
you plug in the slope and the x and y point you have:
-1 = (6/7)(5) + b
then solve for b
-1 = (6/7)(5) + b
**multiply 6/7 and 5
-1 = 4 2/7 + b
**subtract 4 1/2 from both sides
-5 2/7 = b
Then plug it in:
y = 6/7x + -5 2/7
Source(s): Currently taking geometry and took itegrated algebra last year - 1 decade ago
m, 6/7 is the slope
plug in (5,-1) for x and y in the equation y=mx + b
b is the y intercept
so...
-1=(6/7)*(5) + b
solve for b
and the answer is y=6/7x + b (as you have found out previously)