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Write an equation of the line passing through $(-1,4)$ and $(3,5)$. Give the answer in standard form.

The equation of the line in standard form is

Step 1 ：\(m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{5 - 4}}{{3 - (-1)}} = \frac{1}{4} = 0.25\)

Step 2 ：\(4 = 0.25*(-1) + b\)

Step 3 ：\(4 = -0.25 + b\)

Step 4 ：\(b = 4 + 0.25 = 4.25\)

Step 5 ：\(y = 0.25x + 4.25\)

Step 6 ：\(4y = x + 17\)

Step 7 ：\(x - 4y = -17\)

Step 8 ：For (-1,4): \(-1 - 4*4 = -1 - 16 = -17\)

Step 9 ：For (3,5): \(3 - 4*5 = 3 - 20 = -17\)

Step 10 ：\(\boxed{x - 4y = -17}\)