Question 397274
Write an equation in slope-intercept form that passes through the point
(-1, 6) and has a slope of 5.

slope-intercept form, y=mx+b, m=slope, and b=y-intercept

y=5x+b
solve for b
use given coordinates,(-1,6)
6=5(-1)+b
6=-5+b
b=11
equation:
y=5x+11
This is a straight line with a slope=5, and y-intercept=11
To find x-intercept, set y=0, then solve for x
0=5x+11
5x=-11
x=-11/5=-2.2

see the following graph

{{{ graph( 300, 200, -6, 10, -10, 18, 5x+11) }}}