How to find b in linear equation form y=mx+b if the 2 coordinates are (5,6) and (1,0)?

1 Answer
Apr 14, 2018

Answer:

#color(blue)(y = (3/2)x - (3/2)#

#color(purple)( " is the slope-intercept form of equation with slope = 3/2, y-intercept = -3/2"#

Explanation:

https://www.onlinemathlearning.com/equation-of-a-line-types.html

#(x_1,y_1) = (5,6), (x_2,y_2) = (1,0)#

Equation of line is #(y-y_1) / (y_2 - y_1) = (x-x_1) / (x_2-x_1) #

#(y - 6) / (0-6) = (x-5) / (1-5)#

#(y-6) /cancel( -6 )^color(red)(3)= (x-5) /cancel( -4)^color(red)(2)#

#2y - 12 = 3x - 15, " cross multiplying"#

#2y = 3x - 15 + 12#

Standard form of slope-intercept equation is #color(indigo)(y = mx + c#
#color(blue)(y = (3/2)x - (3/2)#

#color(purple)( " is the slope-intercept form of equation with slope = 3/2, y-intercept = -3/2"#