# Graph 19y-(2x-3)=20 19y-(2x-3)=20
Solve for y.
Move all terms not containing y to the right side of the equation.
Add 2x to both sides of the equation.
19y+3=20+2x
Subtract 3 from both sides of the equation.
19y=20+2x-3
Subtract 3 from 20.
19y=2x+17
19y=2x+17
Divide each term by 19 and simplify.
Divide each term in 19y=2x+17 by 19.
19y19=2×19+1719
Cancel the common factor of 19.
Cancel the common factor.
19y19=2×19+1719
Divide y by 1.
y=2×19+1719
y=2×19+1719
y=2×19+1719
y=2×19+1719
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=219
b=1719
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 219
y-intercept: 1719
Slope: 219
y-intercept: 1719
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)19+1719
Simplify the result.
Multiply 2 by 1.
f(1)=219+1719
Combine the numerators over the common denominator.
f(1)=2+1719
Add 2 and 17.
f(1)=1919
Divide 19 by 19.
f(1)=1
The final answer is 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)19+1719
Simplify the result.
Multiply 2 by 0.
f(0)=019+1719
Combine the numerators over the common denominator.
f(0)=0+1719
Add 0 and 17.
f(0)=1719
The final answer is 1719.
1719
1719
The y value at x=0 is 1719.
y=1719
y=1719
Create a table of the x and y values.
xy0171911
xy0171911
Graph the line using the slope and the y-intercept, or the points.
Slope: 219
y-intercept: 1719
xy0171911
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