What is the slope intercept form of the line passing through #(1,11) # with a slope of #-13 #?

1 Answer
Jun 5, 2017

See a solution process below:

Explanation:

The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

We can substitute the slope given in the problem for #color(red)(m)# and the values of the point given in the problem for #x# and #y# and solve for #color(blue)(b)#

#11 = (color(red)(-13) xx 1) + color(blue)(b)#

#11 = -13 + color(blue)(b)#

#color(red)(13) + 11 = color(red)(13) - 13 + color(blue)(b)#

#24 = 0 + color(blue)(b)#

#24 = color(blue)(b)#

#color(blue)(b) = 24#

We can now substitute the slope from the problem and the value of #b# we calculated to write the equation:

#y = color(red)(-13)x + color(blue)(24)#