# Find the Slope -4y=6-5x -4y=6-5x
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Divide each term by -4 and simplify.
Divide each term in -4y=6-5x by -4.
-4y-4=6-4+-5x-4
Cancel the common factor of -4.
Cancel the common factor.
-4y-4=6-4+-5x-4
Divide y by 1.
y=6-4+-5x-4
y=6-4+-5x-4
Simplify 6-4+-5x-4.
Simplify each term.
Cancel the common factor of 6 and -4.
Factor 2 out of 6.
y=2(3)-4+-5x-4
Cancel the common factors.
Factor 2 out of -4.
y=2⋅32⋅-2+-5x-4
Cancel the common factor.
y=2⋅32⋅-2+-5x-4
Rewrite the expression.
y=3-2+-5x-4
y=3-2+-5x-4
y=3-2+-5x-4
Move the negative in front of the fraction.
y=-32+-5x-4
Dividing two negative values results in a positive value.
y=-32+5×4
y=-32+5×4
Reorder -32 and 5×4.
y=5×4-32
y=5×4-32
y=5×4-32
Rewrite in slope-intercept form.
y=54x-32
y=54x-32
Using the slope-intercept form, the slope is 54.
m=54
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