Question

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

Answer 1

Step-by-step explanation:

This is the standard linear equation:

$y=mx+b$

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

$6 = \frac{1}{4} ( - 8) + b$

This simplifies to:

$6 = - 2 + b$

Then to:

$4=b$.

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

$y = \frac{1}{4} x + 4$