What is the equation of the line that has a slope of m=3/4 and goes through (5,2)?

wurpenxd

wurpenxd

Answered question

2022-09-11

What is the equation of the line that has a slope of m = 3 4 and goes through (5,2)?

Answer & Explanation

Hajdiniax

Hajdiniax

Beginner2022-09-12Added 8 answers

The equation of a line in point-slope form is.
| 2 2 y - y 1 = m ( x - x 1 ) 2 2 | ̲ ¯
where m represents the slope and ( x 1 , y 1 ) a point on the line
here m = 3 4 and ( x 1 , y 1 ) = ( 5 , 2 )
y - 2 = 3 4 ( x - 5 ) in point-slope form
Distributing the bracket and simplifying gives an alternative version of the equation.
y - 2 = 3 4 x - 15 4
y = 3 4 x - 15 4 + 2
y = 3 4 x - 7 4 in slope-intercept form

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