Question #f5184

1 Answer
Nov 20, 2017

#y = 4x - 25#

Explanation:

The slope-intercept form follows this general format:
#y = mx + b#
such that,
#m = "slope"#
#b = "y-intercept"#

In this case, since we know that the slope is #m = 4# we can use it in the general format.
#y = 4x + b#

In order to determine #b# or the y-intercept, we can substitute the coordinates given above, where the line passes through.

#(6, -1)#
#y = 4x + b#
#-1 = 4 (6) + b#
#-1 = 24 + b#
#b = -25#

So we know that the equation of the line is #y = 4x - 25#