Question 703656
Write the point-slope form of the equation passing through (5, -1) with a slope of 6.

y = mx + b is the slope-intercept form for a linear equation where m stands for slope and b stands for y-intercept

here you are given a point (5, -1) and m = 6
The coordinates of the point give you an x and y value.  x = 5 and y = -1
plug these into y = mx + b to find b
-1 = (6)(5) + b
- 1 = 30 + b
subtract 30 from both sides
-31 = b
now put the m and b that we just found back into y = mx + b
y = 6x - 31

We can check by graphing
{{{ graph( 300, 200, -4, 6, -35, 5, 6x - 31)}}}

We can see that (5, -1) is a point on this graph
Again the solution is {{{y = 6x - 31}}}