Answer:
slope = 4
Explanation:
You want to find the slope of the line given by the equation -8x +2y = 16.
Slope
We can solve for y to put the equation into slope-intercept form.
-8x +2y = 16
2y = 8x +16 . . . . . . add 8x to both sides
y = 4x +8 . . . . . . divide by 2
Slope-intercept form
The slope-intercept form of the equation for a line is ...
y = mx + b
In this form, m is the slope of the line, and b is the y-intercept. Comparing this form to the rewritten equation above, we see that ...
The slope of the line (m) is 4.
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Additional comment
You may notice that this means the slope of a line written as ...
ax +by = c
will be -a/b.
For the given equation, -a/b = -(-8)/2 = 4.
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