Answer:
Option A is correct.
x – 4y = 8
Step-by-step explanation:
Using point slope form:
The equation of line is given by:
\(y-y_1 = m(x-x_1)\) ....[1]
where, m is the slope.
As per the statement:
The point passes through the line are:
(-4, -3) and (12, 1)
Using Slope(m) formula:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Substitute the given values we have;
\(m = \frac{1+3}{12+4}=\frac{4}{16}=\frac{1}{4}\)
Substitute the value of m and (12, 1) in [1] we have;
\(y-1 = \frac{1}{4}(x-12)\)
Multiply both sides by 4 we have;
\(4y-4 = x-12\)
Add 4 to both sides we have;
\(4y= x-8\)
⇒\(-x+4y = -8\)
Multiply both sides by -1 we have;
⇒\(x-4y =8\)
Therefore, the standard form of the equation for this line is, x – 4y = 8
