Problem

Watch the video and then solve the problem given below. Click here to watch the video. 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

Solution

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 :\(\boxed{x - 4y = -17}\)

From Solvely APP
Source: https://solvelyapp.com/problems/qg3WSDNS5q/

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