Answer:
the slope intercept form of this line is y = -4x + 9.
Explanation:
The equation of line is given by:
y = mx + b .....[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;
y = -4x + b
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;
9 = b
or
b = 9
⇒the equation become, y = -4x+9
Therefore, the slope-intercept form of this line is, y = -4x+9