The equation a line that has a slope of -4 and goes through point (1,-5) in slope intercept form is y = -4x - 1
Solution:
Given that line that has a slope of -4 and goes through point (1,-5)
We have to write the equation of line
The slope intercept form is given as:
y = mx + c ------- eqn 1
where "m" is the slope of line and "c" is the y - intercept
Substitute slope "m" = -4 and (x, y) = (1, -5) in eqn 1
-5 = -4(1) + c
-5 = -4 + c
c = -5 + 4 = -1
c = -1
Substitute c = -1 and m = -4 in eqn 1
y = -4x - 1
Thus the required equation of line is found