How do you find the slope of a line 30x - 5y = 5.6 30x5y=5.6?

1 Answer
Jul 19, 2018

The slope is 66.

Explanation:

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 = 5.630x5y=5.6

Subtract color(blue)(30x)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!