How do you write the equation in slope intercept form given (-3, 5), (-6, 8)?

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Answer 1 · 2018-04-07T02:06:09

#color(blue)(y = - x + 2, " where slope = m = -1, y-intercept = b = 2"#

Equation of a line, given coordinates of two points is

#(y - y_1 ) / (y_2 - y_1) = (x - x_1) / (x_2 - x_1)#

#(x_1, y_1) -> (-3, 5)#

#(x_2, y_2) -> (-6,8)#

Equation is ; #(y - 5) / (8-5) = (x + 3) / (-6 + 3)#

#(y - 5) / cancel3 = (x + 3) / - cancel(3)^color(red)(1)#

#-y + 5 = x + 3#

#"Standard form of slope-intercept is "y = mx + b, " where m is the slope and b the y-intercept"#

#:. -y = x +3 -5 = x - 2#

#y = - x + 2, " where m = -1, b = 2"#