How do you write the equation y−5=6(x+1) in slope intercept form?

Kody Whitaker 2022-09-22 Answered
How do you write the equation y - 5 = 6 ( x + 1 ) in slope intercept form?
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Answers (1)

devilvunga
Answered 2022-09-23 Author has 14 answers
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
First, expand the terms in parenthesis on the right side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis:
y - 5 = 6 ( x + 1 )
y - 5 = ( 6 × x ) + ( 6 × 1 )
y - 5 = 6 x + 6
Now, add 5 to each side of the equation to solve for y while keeping the equation balanced:
y - 5 + 5 = 6 x + 6 + 5
y - 0 = 6 x + 11
y = 6 x + 11
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