A line with a slope of -1/4 passes through the point (8,7). What is it's equation in slope- interception form?

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

y = -1/4x +9

answer: 0

step-by-step explanation: the positive, like 5, + its opposite, like -5 would be 0

5+(-5)=0, or 5-5=0