Answer:
[tex]y = -5x + 1[/tex]
Step-by-step explanation:
The general equation of a line in slope-intercept form is
y = mx + c
where m = slope and c is the y-intercept
The y-intercept can be found by noting the y value at x = 0
Slope m = rise/run
where
Rise = difference in y-values between two points
Run = difference in x-values for the same two points
The line passes through (0, 1) and (1, - 4)
We note that the value of y at x = 0 is 1. This is also where the line crosses the y-axis
So c = 1
Rise between (0, 1) and (1, -4) is -4 - 1 = -5
Run = 1 - 0 = 1
So slope m = - 5/1 = - 5
Equation of the given line is [tex]y = -5x + 1[/tex]
