Question

What is the slope of the line whose equation is -48 = 2x - 8y? Enter your answer in the box.

Answer 1

Answer:

The slope is $\frac{2}{8}$

Step-by-step explanation:

Take the general equation of a straight line $y = mx+c$

Here $m$ is the slope of the line.

So let's get the equation of the line in the question in the same form.

$-48 = 2x-8y$

Add $8y$ to both sides: $8y - 48 = 2x$

Add $48$ to both sides: $8y = 2x + 48$

Divide by $8$ to get it into the general equation: $y = \frac{2}{8} x + 6$

Now compare it to the general equation to find the value of $m$. The value of $m$ is the coefficient of $x$ which we can see is $\frac{2}{8}$