Answer:
y= -1/4x + 9
Step-by-step explanation:
When given the point (8,7) and the slope -1/4, you have to convert this into a formula called point slope form. This is the formula:
y - y1 = m(x - x1)
First, label the given information.
-1/4= m (slope)
8= x1 (the first x given)
7= y1 (the first y given)
Then, plug in the values into the equation
y - 7 = -1/4(x - 8)
After, do the property of distribution by multiplying the -1/4 with whatever is in the bracket
-1/4 multiplyed by x= -1/4x
-1/4 multiplyed by -8= 2
Next, bring the 7 to the other side of the equal sign by adding the 7 from one side to the 2. Then combine like terms
y - 7 = -1/4x +2
+7 +7
This gets you your answer:
y = -1/4x +9
