How do you write the equation in slope intercept form given (-5,6) (4,4)?

Question

2394 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-13T05:53:44

$color(brown)(y = (-2/9)x + 35/9, Slope = -2/9, "y-intercept " = 35/9$

Slope intercept form of equation is $y = m x + c$

where m is the slope and c is the y-intercept.

Equation of a line is given by the formula,

$(y-y_1) / (y_2-y_1) = (x - x_1) / (x_2 - x_1), " knowing the two points on the line"$

$"Given : (x_1,y_1) = -5,6), (x_2, y_2) = (4,4)$

$:.(y - 6) / (4 - 6) = (x + 5) / (4 + 5)$

$(y - 6) / -2 = (x+5) / 9$

$y - 5 = (-2/9)x - -10/9$

$y = (-2/9) x - 10 / 9 + 5$

$color(brown)(y = (-2/9)x + 35/9, Slope " " = m = -2/9, "y-intercept "= c = 35/9$