Answer:
Using the slope formula, determine the slope of the line.
m = (3 - (-1)) / (5 - 0)
Simplify the expression.
m = ⅘
To determine the vertical intercept, substitute all given terms into y = mx + b.
{3 = ⅘(5) + b
{-1 =⅘(0) + b
Calculate the product.
{3 = 4 + b
{-1 = 0 + b
Move b to the left-hand side and change its sign.
{3 - b = 4
{-1 - b = 0
Move the constants to the right-hand side and change its sign.
{-b = 4 - 3
{-b = 0 + 1
Calculate the difference.
{-b = 1
Since -b = 1 is already written, it doesn't have to be written again.
-b = 1
Change the sign on both sides.
b = -1
The equation of the line in slope-intercept form is y = (⅘)x - 1
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Answers & Comments
Answer:
Using the slope formula, determine the slope of the line.
m = (3 - (-1)) / (5 - 0)
Simplify the expression.
m = ⅘
To determine the vertical intercept, substitute all given terms into y = mx + b.
{3 = ⅘(5) + b
{-1 =⅘(0) + b
Calculate the product.
{3 = 4 + b
{-1 = 0 + b
Move b to the left-hand side and change its sign.
{3 - b = 4
{-1 - b = 0
Move the constants to the right-hand side and change its sign.
{-b = 4 - 3
{-b = 0 + 1
Calculate the difference.
{-b = 1
{-b = 1
Since -b = 1 is already written, it doesn't have to be written again.
-b = 1
Change the sign on both sides.
b = -1
The equation of the line in slope-intercept form is y = (⅘)x - 1