heerp
Answered

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What is the equation of the line AB, if it passes through (-4,0), and is parallel to the line
-x - 4y = 1?

Sagot :

Medunno13

Rewriting the equation of the given line in slope-intercept form,

[tex]-x-4y=1\\\\-4y=x+1\\\\4y=-x-1\\\\y=-\frac{1}{4}x-\frac{1}{4}[/tex]

From this, we know the slope of the given line is -1/4.

Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.

Substituting into point-slope form,

[tex]y=-\frac{1}{4}(x+4)\\\\\boxed{y=-\frac{1}{4}x-1}[/tex]

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