# Find the Slope and Y-Intercept 5x-2y=8 5x-2y=8
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.
-2y=8-5x
Divide each term by -2 and simplify.
Divide each term in -2y=8-5x by -2.
-2y-2=8-2+-5x-2
Cancel the common factor of -2.
Cancel the common factor.
-2y-2=8-2+-5x-2
Divide y by 1.
y=8-2+-5x-2
y=8-2+-5x-2
Simplify 8-2+-5x-2.
Simplify each term.
Divide 8 by -2.
y=-4+-5x-2
Dividing two negative values results in a positive value.
y=-4+5×2
y=-4+5×2
Reorder -4 and 5×2.
y=5×2-4
y=5×2-4
y=5×2-4
Rewrite in slope-intercept form.
y=52x-4
y=52x-4
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=52
b=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 52
y-intercept: -4
Slope: 52
y-intercept: -4
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