Answer:
(6, 3)(2, 1)
Using the slope formula, solve for the slope.
m = (1 - 3) / (2 - 6)
Subtract.
m = -2 / -4
Simplify.
m = ½
Substitute all given terms to y = mx + b
{ 3 = ½(6) + b
{ 1 = ½(2) + b
Multiply.
{ 3 = 3 + b
{ 1 = 1 + b
Move the constants to the right-hand side and change its sign.
{ 3 - 3 + b
{ 1 - 1 + b
Move b to the left-hand side and change its sign.
{ -b = 3 - 3
{ -b = 1 - 1
{ -b = 0
Divide both sides by - 1.
{ b = 0
When b = 0 is already written, it does not have to be written again.
b = 0
The equation of the line in slope-intercept form is y = ½x
Converting slope-intercept form to standard form:
y = ½x
Move ½x to the left-hand side and change its sign.
-½x + y
Multiply by -1.
Final Answer: ½x - y
A = ½, B = -1, C = 0
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Answers & Comments
Answer:
(6, 3)(2, 1)
Using the slope formula, solve for the slope.
m = (1 - 3) / (2 - 6)
Subtract.
m = -2 / -4
Simplify.
m = ½
Substitute all given terms to y = mx + b
{ 3 = ½(6) + b
{ 1 = ½(2) + b
Multiply.
{ 3 = 3 + b
{ 1 = 1 + b
Move the constants to the right-hand side and change its sign.
{ 3 - 3 + b
{ 1 - 1 + b
Move b to the left-hand side and change its sign.
{ -b = 3 - 3
{ -b = 1 - 1
Subtract.
{ -b = 0
{ -b = 0
Divide both sides by - 1.
{ b = 0
{ b = 0
When b = 0 is already written, it does not have to be written again.
b = 0
The equation of the line in slope-intercept form is y = ½x
Converting slope-intercept form to standard form:
y = ½x
Move ½x to the left-hand side and change its sign.
-½x + y
Multiply by -1.
Final Answer: ½x - y
A = ½, B = -1, C = 0