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In the XY-plane, the line with equation 4x + by + c = 0, where bc 6= 0
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22 Jan 2024, 00:54
22 Jan 2024, 00:54
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In the XY-plane, the line with equation 4x+by+c=0, where bc≠0, has slope 23. What is the value of b?
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Re: In the XY-plane, the line with equation 4x + by + c = 0, where bc 6= 0
[#permalink]
22 Jan 2024, 11:47
22 Jan 2024, 11:47
1
Start with the given equation, 4x+by+c=0.
Move x and c to the right to only have y on the left (slope intercept form: y = mx+b, where m is the slope).
by=−4x−c
y=−4bx−cb
Now we see that m = −4b. Set it equal to the given slope, 23
23=−4b
Cross multiply the fractions.
2∗b=−3∗4
b=−6
Move x and c to the right to only have y on the left (slope intercept form: y = mx+b, where m is the slope).
by=−4x−c
y=−4bx−cb
Now we see that m = −4b. Set it equal to the given slope, 23
23=−4b
Cross multiply the fractions.
2∗b=−3∗4
b=−6
gmatclubot
Re: In the XY-plane, the line with equation 4x + by + c = 0, where bc 6= 0 [#permalink]
22 Jan 2024, 11:47
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