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In the standard (x,y) coordinate plane, the y-intercept of the line 6x + 2y = 14 is?
- a)-6
- b)-3
- c)2
- d)7
- e)14
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the standard (x,y) coordinate plane, the y-intercept of the line 6x...
Y-Intercept of the Line 6x + 2y = 14
To find the y-intercept of a line in the standard (x,y) coordinate plane, we need to set x=0 and solve for y. This will give us the point where the line intersects the y-axis.
- Equation of the line:
The given equation is 6x + 2y = 14. To find the y-intercept, we set x=0:
6(0) + 2y = 14
2y = 14
y = 7
- Interpretation:
When x=0, y=7. This means that the line intersects the y-axis at the point (0,7).
Therefore, the y-intercept of the line 6x + 2y = 14 is 7, which corresponds to option 'D'.
To find the y-intercept of a line in the standard (x,y) coordinate plane, we need to set x=0 and solve for y. This will give us the point where the line intersects the y-axis.
- Equation of the line:
The given equation is 6x + 2y = 14. To find the y-intercept, we set x=0:
6(0) + 2y = 14
2y = 14
y = 7
- Interpretation:
When x=0, y=7. This means that the line intersects the y-axis at the point (0,7).
Therefore, the y-intercept of the line 6x + 2y = 14 is 7, which corresponds to option 'D'.
Community Answer
In the standard (x,y) coordinate plane, the y-intercept of the line 6x...
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Put the equation given in the problem in the slope-intercept form:
6x + 2y = 14
2y = -6x + 14
y = -3x + 7
The y-intercept is 7.
6x + 2y = 14
2y = -6x + 14
y = -3x + 7
The y-intercept is 7.
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In the standard (x,y) coordinate plane, the y-intercept of the line 6x + 2y = 14 is?a)-6b)-3c)2d)7e)14Correct answer is option 'D'. Can you explain this answer?
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