# Graph 3x-2y=-19 3x-2y=-19
Solve for y.
Subtract 3x from both sides of the equation.
-2y=-19-3x
Divide each term by -2 and simplify.
Divide each term in -2y=-19-3x by -2.
-2y-2=-19-2+-3x-2
Cancel the common factor of -2.
Cancel the common factor.
-2y-2=-19-2+-3x-2
Divide y by 1.
y=-19-2+-3x-2
y=-19-2+-3x-2
Simplify each term.
Dividing two negative values results in a positive value.
y=192+-3x-2
Dividing two negative values results in a positive value.
y=192+3×2
y=192+3×2
y=192+3×2
y=192+3×2
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
Reorder 192 and 3×2.
y=3×2+192
Rewrite in slope-intercept form.
y=32x+192
y=32x+192
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=32
b=192
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 32
y-intercept: 192
Slope: 32
y-intercept: 192
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)=3(1)2+192
Simplify the result.
Multiply 3 by 1.
f(1)=32+192
Combine the numerators over the common denominator.
f(1)=3+192
Add 3 and 19.
f(1)=222
Divide 22 by 2.
f(1)=11
The final answer is 11.
11
11
The y value at x=1 is 11.
y=11
y=11
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=3(3)2+192
Simplify the result.
Multiply 3 by 3.
f(3)=92+192
Combine the numerators over the common denominator.
f(3)=9+192
Add 9 and 19.
f(3)=282
Divide 28 by 2.
f(3)=14
The final answer is 14.
14
14
The y value at x=3 is 14.
y=14
y=14
Create a table of the x and y values.
xy111314
xy111314
Graph the line using the slope and the y-intercept, or the points.
Slope: 32
y-intercept: 192
xy111314
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