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

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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#