# Graph -6x+y=19 -6x+y=19
Add 6x to both sides of the equation.
y=19+6x
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 19 and 6x.
y=6x+19
y=6x+19
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=6
b=19
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 6
y-intercept: 19
Slope: 6
y-intercept: 19
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 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=6(0)+19
Simplify the result.
Multiply 6 by 0.
f(0)=0+19
Add 0 and 19.
f(0)=19
The final answer is 19.
19
19
The y value at x=0 is 19.
y=19
y=19
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=6(1)+19
Simplify the result.
Multiply 6 by 1.
f(1)=6+19
Add 6 and 19.
f(1)=25
The final answer is 25.
25
25
The y value at x=1 is 25.
y=25
y=25
Create a table of the x and y values.
xy019125
xy019125
Graph the line using the slope and the y-intercept, or the points.
Slope: 6
y-intercept: 19
xy019125
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