y=7-5x

Reorder 7 and -5x.

y=-5x+7

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

y=mx+b

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

m=-5

b=7

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

Slope: -5

y-intercept: 7

Slope: -5

y-intercept: 7

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=-5⋅1+7

Simplify the result.

Multiply -5 by 1.

f(1)=-5+7

Add -5 and 7.

f(1)=2

The final answer is 2.

2

2

The y value at x=1 is 2.

y=2

y=2

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

Replace the variable x with 2 in the expression.

f(2)=-5⋅2+7

Simplify the result.

Multiply -5 by 2.

f(2)=-10+7

Add -10 and 7.

f(2)=-3

The final answer is -3.

-3

-3

The y value at x=2 is -3.

y=-3

y=-3

Create a table of the x and y values.

xy122-3

xy122-3

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

Slope: -5

y-intercept: 7

xy122-3

Graph y=7-5x