How to find the general form of the line passing through (-1,2) and (2,5)?

Question

levaretzf35 · Accepted Answer

Find the slope first. Input values for this equation to accomplish this.

m = \frac{y 2 - y 1}{x 2 - x 1}

m is the slope and the values are your original coords.

m = \frac{5 - 2}{2 - - 1}

m = \frac{3}{3}

m = 1

Now that we have the slope, we can utilize it to calculate the slope-intercept form and the y-intercept.
For this, we employ point-slope.

y - y 1 = m (x - x 1)

y - 2 = 1 (x - - 1)

y - 2 = (x + 1)

y - 2 = x + 1

y = x + 3

The slope is 1, and the y-intercept is 3. The slope-intercept form is "y=x+3", and the point-slope form is "y-2=1(x+1)"

Padehodarobxz6 · Accepted Answer

the equation of a line in                             general form             is.                                                                                          |                                                                                    2                        2                                                                                                                        A                      x                      +                      B                      y                      +                      C                      =                      0                                                                                                                          2                        2                                                                              |                                            ̲                                ¯                    where A is a positive integer and B, C are integers.            to begin express the equation in                             slope-intercept form                  •    y    =    m    x    +    b              where m represents the slope and b, the y-intercept                  to calculate m use the                             gradient formula                                                                                                      |                                                                                    2                        2                                                                                                                        m                      =                                                                                                    y                            2                                                    -                                                      y                            1                                                                                                                                x                            2                                                    -                                                      x                            1                                                                                                                                                                                                  2                        2                                                                              |                                            ̲                                ¯                    where             (              x        1            ,              y        1            )        ,          (              x        2            ,              y        2            )                     are 2 coordinate points                  the points are                     (              x        1            ,              y        1            )        =          (      -      1      ,      2      )        ,          (              x        2            ,              y        2            )        =          (      2      ,      5      )            ⇒    m    =                  5        -        2                    2        -                  (          -          1          )                      =          3      3        =    1        ⇒    y    =    x    +    b    ←                 is the partial equation                  to find b use either of the 2 given points                  using                     (      2      ,      5      )                     then            5    =    2    +    b    ⇒    b    =    3        ⇒    y    =    x    +    3    ←                           in slope-intercept form                  ⇒    x    -    y    +    3    =    0    ←                           in general form

How to find the general form of the line passing through (-1,2) and (2,5)?

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