What is the equation in point-slope form and slope intercept form for the line given (-5,-4) (7,-5)?

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Answer 1 · 2018-05-27T12:08:45

Point - Slope form of equation is $color(maroon)(y + 4 = -(1/12) * (x + 5)$

$color(green)(y = -(1/12) x - (53/12)$

$m = (y_2-y_1) / (x_2 - x_1)$

$(x_1, y_1) = (-5,-4), (x_2,y_2) = (7,-5)$

Slope $= (-5+4) / (7+5) = -(1/12)$

Point - Slope form of equation is

$(y - y_1) = m * (x - x_1)$

$color(maroon)(y + 4 = -(1/12) * (x + 5)$

Slope-Intercept form of equation is

$y = mx + c$ , where m is the slope and c is the y-intercept.

$y = -(1/12) * (x + 5) - 4$

$y = -(1/12)x - 5/12 - 4$

$color(green)(y = -(1/12) x - (53/12)$