r=3xs-8xt

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

y=mx+b

Simplify 3xs-8xt.

Move x.

r=3sx-8xt

Move x.

r=3sx-8tx

r=3sx-8tx

r=3sx-8tx

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

m=3

b=-8tx

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

Slope: 3

y-intercept: -8tx

Slope: 3

y-intercept: -8tx

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

Replace the variable x with 0 in the expression.

f(0)=3s(0)-8t⋅0

Simplify the result.

Simplify each term.

Multiply 3s(0).

Multiply 0 by 3.

f(0)=0s-8t⋅0

Multiply 0 by s.

f(0)=0-8t⋅0

f(0)=0-8t⋅0

Multiply -8t⋅0.

Multiply 0 by -8.

f(0)=0+0t

Multiply 0 by t.

f(0)=0+0

f(0)=0+0

f(0)=0+0

Add 0 and 0.

f(0)=0

The final answer is 0.

0

0

The y value at x=0 is 0.

y=0

y=0

Create a table of the x and y values.

xy0000

xy0000

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

Slope: 3

y-intercept: -8tx

xy0000

Graph r=3xs-8xt