Answer:
B. x + 4y = 7
Step-by-step explanation:
There are two points given:
(-1, 2) and (3, 1)
The standard form of equation is:
y = mx+b
We have to find the slope first
[tex]m = \frac{y_2-y_1}{x_2-x_1} \\= \frac{1-2}{3+1}\\ = \frac{-1}{4}[/tex]
So,
y = (-1/4)x + b
We have to find the value of b
1 = (-1/4)(3) + b
1 = -(3/4) + b
1 + (3/4) = b
7/4 = b
Putting the values of b and m in standard equation
[tex]y = -\frac{1}{4}x+\frac{7}{4}\\ Multiplying\ whole\ equation\ by\ 4\\4y = -x+7\\x+4y = 7[/tex]
Hence, option B. x + 4y = 7 is correct ..
