-x+4y=10

Add x to both sides of the equation.

4y=10+x

Divide each term by 4 and simplify.

Divide each term in 4y=10+x by 4.

4y4=104+x4

Cancel the common factor of 4.

Cancel the common factor.

4y4=104+x4

Divide y by 1.

y=104+x4

y=104+x4

Cancel the common factor of 10 and 4.

Factor 2 out of 10.

y=2(5)4+x4

Cancel the common factors.

Factor 2 out of 4.

y=2⋅52⋅2+x4

Cancel the common factor.

y=2⋅52⋅2+x4

Rewrite the expression.

y=52+x4

y=52+x4

y=52+x4

y=52+x4

y=52+x4

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

y=mx+b

Reorder 52 and x4.

y=x4+52

Rewrite in slope-intercept form.

y=14x+52

y=14x+52

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

m=14

b=52

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

Slope: 14

y-intercept: 52

Slope: 14

y-intercept: 52

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=24+52

Simplify the result.

Cancel the common factor of 2 and 4.

Factor 2 out of 2.

f(2)=2(1)4+52

Cancel the common factors.

Factor 2 out of 4.

f(2)=2⋅12⋅2+52

Cancel the common factor.

f(2)=2⋅12⋅2+52

Rewrite the expression.

f(2)=12+52

f(2)=12+52

f(2)=12+52

Combine the numerators over the common denominator.

f(2)=1+52

Add 1 and 5.

f(2)=62

Divide 6 by 2.

f(2)=3

The final answer is 3.

3

3

The y value at x=2 is 3.

y=3

y=3

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=04+52

Simplify the result.

Divide 0 by 4.

f(0)=0+52

Add 0 and 52.

f(0)=52

The final answer is 52.

52

52

The y value at x=0 is 52.

y=52

y=52

Create a table of the x and y values.

xy05223

xy05223

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

Slope: 14

y-intercept: 52

xy05223

Graph -x+4y=10