# Find the Slope and Y-Intercept 5/2x+2/3y-5=0

52x+23y-5=0
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
Simplify each term.
Combine 52 and x.
5×2+23y-5=0
Combine 23 and y.
5×2+2y3-5=0
5×2+2y3-5=0
Move all terms not containing y to the right side of the equation.
Subtract 5×2 from both sides of the equation.
2y3-5=-5×2
Add 5 to both sides of the equation.
2y3=-5×2+5
2y3=-5×2+5
Multiply both sides of the equation by 32.
32⋅2y3=32⋅(-5×2+5)
Simplify both sides of the equation.
Simplify 32⋅2y3.
Cancel the common factor of 3.
Cancel the common factor.
32⋅2y3=32⋅(-5×2+5)
Rewrite the expression.
12⋅(2y)=32⋅(-5×2+5)
12⋅(2y)=32⋅(-5×2+5)
Cancel the common factor of 2.
Factor 2 out of 2y.
12⋅(2(y))=32⋅(-5×2+5)
Cancel the common factor.
12⋅(2y)=32⋅(-5×2+5)
Rewrite the expression.
y=32⋅(-5×2+5)
y=32⋅(-5×2+5)
y=32⋅(-5×2+5)
Simplify 32⋅(-5×2+5).
Apply the distributive property.
y=32(-5×2)+32⋅5
Multiply 32(-5×2).
Multiply 32 and 5×2.
y=-3(5x)2⋅2+32⋅5
Multiply 5 by 3.
y=-15×2⋅2+32⋅5
Multiply 2 by 2.
y=-15×4+32⋅5
y=-15×4+32⋅5
Multiply 32⋅5.
Combine 32 and 5.
y=-15×4+3⋅52
Multiply 3 by 5.
y=-15×4+152
y=-15×4+152
y=-15×4+152
y=-15×4+152
Rewrite in slope-intercept form.
y=-154x+152
y=-154x+152
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=-154
b=152
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -154
y-intercept: 152
Slope: -154
y-intercept: 152
Find the Slope and Y-Intercept 5/2x+2/3y-5=0