Step-by-step explanation:
m1 = m2 = 1/4
[tex]y - y1 = m2(x - x1)[/tex]
y - (-1) = 1/4 ( x - (-8))
y + 1 = 1/4 ( x + 8)
y = 1/4x + 2 - 1
y = 1/4x + 1
The equation of the line that passes through the point (—8,—1) and is parallel to the line x— 4y= 4 is y = 1 / 4 x + 1.
The equation of a line that pass through the point (—8,—1) that is parallel to the line x - 4y = 4 has the same slope.
Therefore, the slope of x - 4y = 4 can be found below.
y = mx + b
where
m = slope
b = y-intercept
x - 4y = 4
x - 4 = 4y
divide both sides by 4
y = 1 / 4 x - 1
slope = 1 /4
Therefore, the equation of the line that pass through the point (—8,—1) can be solved below:
y = 1 /4 x + b
let's find b
-1 = 1 /4 (-8)+ b
-1 = - 2 + b
b = -1 + 2
b = 1
Therefore, the equation will be
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