The "slope-intercept" form of a straight line is:

y = mx + b

where m is the slope and b is the y intercept.

In our case m = -5 thus the equation is:

y = -5x + b

Next, we are going to find b.

We know the line goes through (4, -1) meaning when x = 4 we have y = -1 or:

(-5)*4 + b = -1

........

click here to see the equation solved for b

........

b = 19

The equation of the straight line in slope-intercept form is:

y = -5x + 19

"standard form" means the form "Ax + By + C = 0" where A, B, and C are all whole numbers and A is positive:

5x + y - 19 = 0 is the standard forn.