What is the equation in slope-intercept form for the line that passes through the points (-2, -1) and (1, 5)?

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Answer 1 · 2018-04-07T02:29:22

#color(green)( y = 2x + 3, " where slope = m = 2, y-intercept = b = 3"#

#(x_1, y_1) = (-2, -1), (x_2, y_2) = (1,5)#

Equation of the line is

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

#(y + 1) / (5 + 1) = (x +2) / (1 +2)#

#(y + 1) / cancel(6)^color(red)(2) = (x + 2) / cancel 3#

#y + 1 = 2x + 4#

#"Slope intercept form equation is "y = mx + b#

#:. y = 2x + 3, " where slope = m = 2, y-intercept = b = 3"#