What is the slope of the line whose equation is –48 = 2x − 8y?
This is supposed to be answered in a fraction.. I'm stuck
8y=2x+48
y= .25 x + 6
slope = .25 or 1/4
To find the slope of a line, we need to rewrite the equation in slope-intercept form, which is in the form of y = mx + b, where m represents the slope.
Given equation: -48 = 2x - 8y
First, let's isolate the y variable by moving the terms around:
-48 + 8y = 2x
To simplify the equation further, let's divide both sides by 8 to isolate y:
(8y - 48)/8 = 2x/8
Simplifying the equation gives:
y - 6 = (1/4)x
Now, the equation is in the slope-intercept form y = (1/4)x + 6. Comparing this form with the slope-intercept form y = mx + b, we can see that the slope (m) is (1/4).
Therefore, the slope of the line is 1/4.