Find the x and y intercepts for the following equation. 2x– 7y=-14 A. X int. = -7 Yint. = 2
B. X int. = 7 Yint. = -2
C. Xint. = 2 Yint. = -7
D. X int. = -2 Y int. = 7

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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