# Graph 2/5x+1/2y>7/10

25x+12y>710
Solve for y.
Simplify each term.
Combine 25 and x.
2×5+12y>710
Combine 12 and y.
2×5+y2>710
2×5+y2>710
Subtract 2×5 from both sides of the inequality.
y2>710-2×5
Multiply both sides of the equation by 2.
y>710⋅(2)-2×5⋅2
Simplify each term.
Cancel the common factor of 2.
Factor 2 out of 10.
y>72(5)⋅2-2×5⋅2
Cancel the common factor.
y>72⋅5⋅2-2×5⋅2
Rewrite the expression.
y>75-2×5⋅2
y>75-2×5⋅2
Multiply -2×5⋅2.
Multiply 2 by -1.
y>75-22×5
Combine -2 and 2×5.
y>75+-2(2x)5
Multiply 2 by -2.
y>75+-4×5
y>75+-4×5
Move the negative in front of the fraction.
y>75-4×5
y>75-4×5
Reorder 75 and -4×5.
y>-4×5+75
y>-4×5+75
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Find the values of m and b using the form y=mx+b.
m=-45
b=75
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -45
y-intercept: 75
Slope: -45
y-intercept: 75
Graph a dashed line, then shade the area above the boundary line since y is greater than -4×5+75.
y>-4×5+75
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Graph 2/5x+1/2y>7/10