What is the value of k if x- intercept of line 2x+3y+k=0 is 6?
-12
2
18
6
Answers
Answer:
18 Is the answer
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Concept
In the linear equation, we read that the general form is represented as y = mx + b, where m and b are constants. The x-intercept is the point or coordinate from which the line crosses and which lies on the x-axis of the plane. This means that the value of the y-coordinate of the corresponding linear equation will always be 0 when it intersects the x-axis. For the x-intercept, the y-coordinate is zero, and for the y-intercept, the x-coordinate is zero. The x-intercept is also known as the horizontal intercept.
The x-intercept is the point on the x-axis where the line intersects the x-axis. To find the x-intercept, always use y=0 because if y is not = 0, the point will not be on the x-axis.
Given
It is given that the Line 2x+3y+k=0 has x- intercept which is equal to 6
Find
We need to find the value of k in the line 2x+3y+k=0
Solution
Let us put the value of y=0 and the value of x intercept is 6
2(6) + 3(0) + k = 0
12 + 0 + k = 0
k = -12
Hence the value of k is - 12
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