How to write an equation in slope-intercept form of the line that passes through the given points (2,6) and (-4,-2)?

Londyn Webb

Londyn Webb

Answered question

2023-02-06

How to write an equation in slope-intercept form of the line that passes through the given points (2,6) and (-4,-2)?

Answer & Explanation

Hunter Terry

Hunter Terry

Beginner2023-02-07Added 8 answers

The slope of the line is y 2 - y 1 x 2 - x 1 = - 2 - 6 - 4 - 2 = - 8 - 6 = 4 3 . Let the equation of the line in slope-intercept form is y = m x + c y = 4 3 x + c The point ( 2 , 6 ) will satisfy the equation of the line 6 = ( 4 3 ) 2 + c c = 6 - ( 8 3 ) = 10 3
As a result, the line's equation in slope-intercept form is y = 4 3 x + 10 3

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