Answer:
C: Xint = 2, Yint. = -7
Step-by-step explanation:
Given the equation, 2x - 7y = -14:
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0. To solve for the y-intercept, set x = 0:
2x - 7y = -14
2(0) - 7y = -14
0 - 7y = -14
-7y = -14
Divide both sides by -7 to solve for y:
-7y/-7 = -14/-7
y = 2
Therefore, the y-intercept = 2.
Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:
2x - 7y = -14
2x - 7(0) = -14
2x - 0 = -14
2x = -14
Divide both sides by 2 to solve for x:
2x/2 = -14/2
x = -7
x-intercept = -7.
Therefore, the correct answer is C: Xint = 2, Yint. = -7
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