Answer:
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.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Substitute the coordinates into the formula above.
[tex]gradient = \frac{b - 2}{5 - ( - 1)} [/tex]
Since we know that the gradient is 2,
[tex] \frac{b - 2}{5 + 1} = 2 \\ \frac{b - 2}{6} = 2 \\ b - 2 = 2(6) \\ b - 2 = 12 \\ b = 12 + 2 \\ b = 14[/tex]
Thus, the value of b is 14.
