Examples
m=7m=7 , (0,9)(0,9)
Step 1
Step 1.1
Use the formula for the equation of a line to find bb.
y=mx+by=mx+b
Step 1.2
Substitute the value of mm into the equation.
y=(7)⋅x+by=(7)⋅x+b
Step 1.3
Substitute the value of xx into the equation.
y=(7)⋅(0)+by=(7)⋅(0)+b
Step 1.4
Substitute the value of yy into the equation.
9=(7)⋅(0)+b9=(7)⋅(0)+b
Step 1.5
Find the value of bb.
Step 1.5.1
Rewrite the equation as (7)⋅(0)+b=9(7)⋅(0)+b=9.
(7)⋅(0)+b=9(7)⋅(0)+b=9
Step 1.5.2
Simplify (7)⋅(0)+b(7)⋅(0)+b.
Step 1.5.2.1
Multiply 77 by 00.
0+b=90+b=9
Step 1.5.2.2
Add 00 and bb.
b=9b=9
b=9b=9
b=9b=9
b=9b=9
Step 2
Now that the values of mm (slope) and bb (y-intercept) are known, substitute them into y=mx+by=mx+b to find the equation of the line.
y=7x+9y=7x+9
Step 3