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Write the equation of the line in slope-intercept form with slope = 1/4 and point (-8, 6)

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Step-by-step explanation:

This is the standard linear equation:

[tex]y=mx+b[/tex]

[tex]m[/tex] represents slope and [tex]b[/tex] represents the y-intercept. In a finished equation, [tex]x[/tex] and [tex]y[/tex] are left as variables. [tex]x[/tex] and [tex]y[/tex] represent any given point in the function. In this case, one of the given coordinates is [tex](-8, 6)[/tex], and we can use this by using [tex]-8[/tex] as [tex]x[/tex] and [tex]6[/tex] as [tex]y[/tex]. After plugging in known variable, the equation becomes this:

[tex]6 = \frac{1}{4} ( - 8) + b[/tex]

This simplifies to:

[tex]6 = - 2 + b[/tex]

Then to:

[tex]4=b[/tex].

After plugging in slope and y-intercept, the finished equation is:

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

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