How do you find the slope of a line #30x - 5y = 5.6 #?

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Answer 1 · 2018-07-19T04:20:16

The slope is #6#.

To find the slope, first make the equation in slope-intercept form (shown below) so that we can find the slope easier:
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#30x - 5y = 5.6#

Subtract #color(blue)(30x)# from both sides of the equation:
#30x - 5y quadcolor(blue)(-quad30x) = 5.6 quadcolor(blue)(-quad30x)#

#-5y = 5.6 - 30x#

Divide both sides by #color(blue)(-5)#:
#(-5y)/color(blue)(-5) = (5.6-30x)/color(blue)(-5)#

#y = -1.12 + 6x#

#y = 6x - 1.12#

We know that the slope is the value multiplied by the #x#, meaning that the slope is #6#.

Hope this helps!