# Graph 5y=2x+3

5y=2x+3
Divide each term by 5 and simplify.
Divide each term in 5y=2x+3 by 5.
5y5=2×5+35
Cancel the common factor of 5.
Cancel the common factor.
5y5=2×5+35
Divide y by 1.
y=2×5+35
y=2×5+35
y=2×5+35
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=25
b=35
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 25
y-intercept: 35
Slope: 25
y-intercept: 35
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=2(1)5+35
Simplify the result.
Multiply 2 by 1.
f(1)=25+35
Combine the numerators over the common denominator.
f(1)=2+35
f(1)=55
Divide 5 by 5.
f(1)=1
1
1
The y value at x=1 is 1.
y=1
y=1
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=2(0)5+35
Simplify the result.
Multiply 2 by 0.
f(0)=05+35
Combine the numerators over the common denominator.
f(0)=0+35
f(0)=35
35
35
The y value at x=0 is 35.
y=35
y=35
Create a table of the x and y values.
xy03511
xy03511
Graph the line using the slope and the y-intercept, or the points.
Slope: 25
y-intercept: 35
xy03511
Graph 5y=2x+3