6x+y=5

Subtract 6x from both sides of the equation.

y=5-6x

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder 5 and -6x.

y=-6x+5

y=-6x+5

Find the values of m and b using the form y=mx+b.

m=-6

b=5

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: -6

y-intercept: 5

Slope: -6

y-intercept: 5

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+5

Simplify the result.

Multiply -6 by 1.

f(1)=-6+5

Add -6 and 5.

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)=-6⋅0+5

Simplify the result.

Multiply -6 by 0.

f(0)=0+5

Add 0 and 5.

f(0)=5

The final answer is 5.

5

5

The y value at x=0 is 5.

y=5

y=5

Create a table of the x and y values.

xy051-1

xy051-1

Graph the line using the slope and the y-intercept, or the points.

Slope: -6

y-intercept: 5

xy051-1

Graph 6x+y=5