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Question 453353: what is the slope-intercept of 2x-7y=-24 passing through (9,11)
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website! 2 x -7 y = -24
Find the slope of this line
-7 y = -2 x + -24 0.29
Divide by -7
y = 0.29 x + 3.43
Compare this equation with y=mx+b
slope m = 0.29 m= 0.29 ,point (9,11)
Find b by plugging the values of m & the point in
y=mx+b
11=2.57 +b
b=8.43
m=0.29
Plug value of the slope and b
The required equation is y=0.29 x+8.43
Answer by ikleyn(53614)  (Show Source):
You can put this solution on YOUR website! .
what is the slope-intercept of 2x-7y=-24 passing through (9,11)
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In his post, @mananth gives the answers: the slope is 0.29, x-intercept is 8.43.
Both his answers are incorrect. His solution is incorrect, too.
I came to bring a correct solution to this problem.
We want to find the slope-intercept equation for the line parallel 2x-7y = -24 and passing through (9,11).
In standard form, this line have the same left side
2x - 7y = c (1)
and some constant 'c' in the right side.
To find the value of 'c', substitute the coordinates (x,y) = (9,11) into equation (1). You will get
c = 2*9-7*11 = -59.
So, equation (1) takes the form
2x - 7y = -59. (2)
To get the "slope-intercept form", express 'y' from equation (2).
It is
y =  +  .
Thus the slope of the sought line is  and its x-intercept is .
@mananth produced approximate decimals with only 2 correct decimals after the decimal dot -
- but the problem asks about PRECISE values, not about their approximate values.
It is why the solution by @mananth fails and is incorrect.
Solved correctly.
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