How to write an equation of a line with slope of 3 and contains the point (4, 9)?

Question

angel52594672ve · Accepted Answer

the equation of a line in                             slope-intercept form             is.      •                  x              y    =    m    x    +    b              where m is the slope and b the y-intercept                  here               m    =    3        ⇒    y    =    3    x    +    b    ←                  is the partial equation                        to find b substitute                     (      4      ,      9      )                     into the partial equation            9    =    12    +    b    ⇒    b    =    9    -    12    =    -    3        ⇒    y    =    3    x    -    3    ←                  is the equation of the line

polemann7tm · Accepted Answer

The equation of a line in point-slope form is as follows:

y - y_{1} = m (x - x_{1})

Make the following substitutions:

x_{1} = 4

(the x-coordinate of the point)

y_{1} = 9

(the y-coordinate of the same point)

m = 3

(the slope of the line)
You will then have:

y - 9 = 3 (x - 4)

Then simplify:

y - 9 = 3 (x - 4)

y - 9 = 3 x - 12

y = 3 x - 3

How to write an equation of a line with slope of 3 and contains the...

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