# Find the Slope 5x-8y=-4 5x-8y=-4
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
Subtract 5x from both sides of the equation.
-8y=-4-5x
Divide each term by -8 and simplify.
Divide each term in -8y=-4-5x by -8.
-8y-8=-4-8+-5x-8
Cancel the common factor of -8.
Cancel the common factor.
-8y-8=-4-8+-5x-8
Divide y by 1.
y=-4-8+-5x-8
y=-4-8+-5x-8
Simplify -4-8+-5x-8.
Simplify each term.
Cancel the common factor of -4 and -8.
Factor -4 out of -4.
y=-4(1)-8+-5x-8
Cancel the common factors.
Factor -4 out of -8.
y=-4⋅1-4⋅2+-5x-8
Cancel the common factor.
y=-4⋅1-4⋅2+-5x-8
Rewrite the expression.
y=12+-5x-8
y=12+-5x-8
y=12+-5x-8
Dividing two negative values results in a positive value.
y=12+5×8
y=12+5×8
Reorder 12 and 5×8.
y=5×8+12
y=5×8+12
y=5×8+12
Rewrite in slope-intercept form.
y=58x+12
y=58x+12
Using the slope-intercept form, the slope is 58.
m=58
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