Answer:
y = -4x+9
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
[tex]y=mx+b[/tex] .....[1]
where,
m is the slope of line
b is the y-intercept.
As per the statement:
Given: The rate of change = -4
Substitute in [1] we have;
[tex]y = -4x+b[/tex]
Substitute the values of any (x, y) from the given table.
Let x = -1 and y = 13
then;
13 = -4(1-)+b
⇒13 = 4+b
Subtract 4 from both sides we have;
[tex]9= b[/tex]
or
b = 9
⇒the equation become, y = -4x+9
Therefore, the slope-intercept form of this line is, y = -4x+9
