A line passes through the points (-1, 2) and (5,b), and is parallel to the graph of the equation 4x-2y=13. What is the value of b?

b= 14

Explanation:

Let's write the given equation in the form of y= mx +c, so that we can find the gradient of the line, m.

4x -2y= 13

-2y= -4x +13

y= 2x -6½ (divide by -2 throughout)

Thus, the gradient of the given line is 2.

Parallel lines have the same gradient. Hence, gradient of the unknown line is 2.

Substitute the coordinates into the formula above.

Since we know that the gradient is 2,

Thus, the value of b is 14.

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