-6x+y=19

Add 6x to both sides of the equation.

y=19+6x

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

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

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

Graph -6x+y=19