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In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
\(A. -2\) \(B. -1\) \(C. 0\) \(D. 1\) \(E. 2\)
given c=2m
y=mx+c or say y=mx+2m x= y/m-2
since y is not =0 , x intercept would be -2 .. IMO A
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In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
\(A. -2\) \(B. -1\) \(C. 0\) \(D. 1\) \(E. 2\)
One approach is to choose some values that meet the given information.
In the coordinate plane, the y-intercept of the line k is equal to twice its slope. Okay, so let's say the y-intercept of line k is 6. We get:
Since the y-intercept (6) is TWICE the slope, we know that the slope = 3
What is the x-intercept of the line k? Since (x, 0) are the coordinates of the x-intercept . . . . . . we can apply the slope formula to wrote: (6 - 0)/(0 - x) = 3 Simplify: 6/(-x) = 3 Multiply both sides by -x to get: 6 = -3x Solve: x = 6/(-3) = -2
In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
\(A. -2\) \(B. -1\) \(C. 0\) \(D. 1\) \(E. 2\)
Equation of a line is y = mx +c Since y intercept = twice of slope So, c = 2m y=mx+2m
TO find x intercept lets put y = 0 SO, mx+2m = 0 -> x = -2
Answer A _________________
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Re: In the coordinate plane, the y-intercept of the line k is equal to twi
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19 Dec 2018, 06:00
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The equation of line \(k\) has the form, \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Let \(m\) be the slope of line \(k\). Then \(b = 2m\), and the equation is \(y = mx + 2m = m(x+2).\) The x-intercept of line \(k\) is \(-2,\) since \(-2\) is a root of \(m(x+2)=0.\)
Therefore, the answer is A. Answer: A
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In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
\(A. -2\) \(B. -1\) \(C. 0\) \(D. 1\) \(E. 2\)
We can let m = the slope, and thus 2m = the y-intercept. The equation of the line is
y = mx + 2m
To find the x-intercept, we set y = 0 and solve for x. Thus, we have:
0 = mx + 2m
-mx = 2m
Since the y-intercept is non-zero, m is non-zero as well. Thus, we can divide each side by -m:
In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
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